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On the integrability of the supremum of stochastic volatility models and
other martingales
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2024
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Stefan Gerhold
Julian Pachschwöll
Johannes Ruf
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PDF
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Small-time central limit theorems for stochastic Volterra integral
equations and their Markovian lifts
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2024
|
Martin Friesen
Stefan Gerhold
Kristof Wiedermann
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PDF
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On some inequalities for the two-parameter Mittag-Leffler function in
the complex plane
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2024
|
Roberto Garrappa
Stefan Gerhold
Marina Popolizio
Thomas Simon
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PDF
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A characterization of real matrix semigroups
|
2023
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Benedict Bauer
Stefan Gerhold
|
+
PDF
Chat
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A converse to the neo-classical inequality with an application to the Mittag-Leffler function
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2023
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Stefan Gerhold
Thomas Simon
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Small ball probabilities and large deviations for grey Brownian motion
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2023
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Stefan Gerhold
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+
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A characterization of real matrix semigroups
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2023
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Benedict Bauer
Stefan Gerhold
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+
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The Fan-Taussky-Todd inequalities and the Lumer-Phillips theorem
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2023
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Benedict Bauer
Stefan Gerhold
|
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PDF
Chat
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Small ball probabilities and large deviations for grey Brownian motion
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2023
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Stefan Gerhold
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PDF
Chat
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Geometric Properties of Some Generalized Mathieu Power Series inside the Unit Disk
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2022
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Živorad Tomovski
Stefan Gerhold
Deepak Bansal
Amit Soni
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The running maximum of the Cox-Ingersoll-Ross process with some properties of the Kummer function
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2022
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Stefan Gerhold
Friedrich Hubalek
R. B. Paris
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PDF
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Fractional characteristic functions, and a fractional calculus approach for moments of random variables
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2022
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Živorad Tomovski
Ralf Metzler
Stefan Gerhold
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PDF
Chat
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A converse to the neo-classical inequality with an application to the
Mittag-Leffler function
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2021
|
Stefan Gerhold
Thomas Simon
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Large deviations for fractional volatility models with non-Gaussian volatility driver
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2021
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Stefan Gerhold
Christoph Gerstenecker
Archil Gulisashvili
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PDF
Chat
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Pathwise large deviations for the rough Bergomi model: Corrigendum
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2021
|
Stefan Gerhold
Antoine Jacquier
Mikko S. Pakkanen
Henry W. Stone
Thomas Wagenhofer
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Asymptotic Expansions of Mathieu Series
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2021
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Živorad Tomovski
Delčo Leškovski
Stefan Gerhold
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+
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Mean Convergence of Fourier-Mathieu Series
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2021
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Živorad Tomovski
Delčo Leškovski
Stefan Gerhold
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+
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Probability Distributions Associated with Mathieu Series
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2021
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Živorad Tomovski
Delčo Leškovski
Stefan Gerhold
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+
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Two-Sided Inequalities for the Butzer-Flocke-Hauss Complete Omega Function
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2021
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Živorad Tomovski
Delčo Leškovski
Stefan Gerhold
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Generalized Mathieu Series, Associated Integral Representations and Convergence
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2021
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Živorad Tomovski
Delčo Leškovski
Stefan Gerhold
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+
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Generalized Mathieu Series
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2021
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Živorad Tomovski
Delčo Leškovski
Stefan Gerhold
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+
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Estimates for Multiple Generalized Mathieu Series
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2021
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Živorad Tomovski
Delčo Leškovski
Stefan Gerhold
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+
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Geometric properties of some generalized Mathieu power series inside the unit disk
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2021
|
Stefan Gerhold
Živorad Tomovski
Deepak Bansal
Amit Soni
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+
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A converse to the neo-classical inequality with an application to the Mittag-Leffler function
|
2021
|
Stefan Gerhold
Thomas Simon
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+
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A note on large deviations in life insurance
|
2020
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Stefan Gerhold
|
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PDF
Chat
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Asymptotics of some generalized Mathieu series
|
2020
|
Stefan Gerhold
Friedrich Hubalek
Živorad Tomovski
|
+
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Large deviations for fractional volatility models with non-Gaussian volatility driver
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2020
|
Stefan Gerhold
Christoph Gerstenecker
Archil Gulisashvili
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+
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Large deviations related to the law of the iterated logarithm for Itô diffusions
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2020
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Stefan Gerhold
Christoph Gerstenecker
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+
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Self-similar Gaussian Markov processes
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2020
|
Benedict Bauer
Stefan Gerhold
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+
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Difference Equation Theory Meets Mathematical Finance
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2020
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Stefan Gerhold
Arpad Pinter
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+
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A note on large deviations in life insurance
|
2020
|
Stefan Gerhold
|
+
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The running maximum of the Cox-Ingersoll-Ross process with some properties of the Kummer function
|
2020
|
Stefan Gerhold
Friedrich Hubalek
R. B. Paris
|
+
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Large deviations for fractional volatility models with non-Gaussian volatility driver
|
2020
|
Stefan Gerhold
Christoph Gerstenecker
Archil Gulisashvili
|
+
PDF
Chat
|
Consistency of option prices under bid–ask spreads
|
2019
|
Stefan Gerhold
I. Cetin Gülüm
|
+
PDF
Chat
|
Moment explosions in the rough Heston model
|
2019
|
Stefan Gerhold
Christoph Gerstenecker
Arpad Pinter
|
+
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Asymptotic expansion of Mathieu power series and trigonometric Mathieu series
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2019
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Stefan Gerhold
Živorad Tomovski
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+
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Small-time and large-time smile behaviour for the Rough Heston model
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2019
|
Martin Forde
Stefan Gerhold
Benjamin Smith
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+
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Small-time, large-time and $H\to 0$ asymptotics for the Rough Heston model
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2019
|
Martin Forde
Stefan Gerhold
Benjamin Smith
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+
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Asymptotic expansion of Mathieu power series and trigonometric Mathieu series
|
2019
|
Stefan Gerhold
Živorad Tomovski
|
+
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Large deviations related to the law of the iterated logarithm for Ito diffusions
|
2019
|
Stefan Gerhold
Christoph Gerstenecker
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+
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Asymptotics of some generalized Mathieu series
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2019
|
Stefan Gerhold
Živorad Tomovski
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+
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Small-time, large-time and $H\to 0$ asymptotics for the Rough Heston model
|
2019
|
Martin Forde
Stefan Gerhold
Benjamin D. Smith
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+
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Asymptotic expansion of Mathieu power series and trigonometric Mathieu series
|
2019
|
Stefan Gerhold
Živorad Tomovski
|
+
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Large deviations related to the law of the iterated logarithm for Ito diffusions
|
2019
|
Stefan Gerhold
Christoph Gerstenecker
|
+
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Asymptotics of some generalized Mathieu series
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2019
|
Stefan Gerhold
Živorad Tomovski
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+
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Peacocks nearby: Approximating sequences of measures
|
2018
|
Stefan Gerhold
I. Cetin Gülüm
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+
PDF
Chat
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Moment Explosions in the Rough Heston Model
|
2018
|
Stefan Gerhold
Christoph Gerstenecker
Arpad Pinter
|
+
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Moment Explosions in the Rough Heston Model
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2018
|
Stefan Gerhold
Christoph Gerstenecker
Arpad Pinter
|
+
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Moment Explosions in the Rough Heston Model
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2018
|
Stefan Gerhold
Christoph Gerstenecker
Arpad Pinter
|
+
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Dynamic trading under integer constraints
|
2017
|
Stefan Gerhold
Paul Krühner
|
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PDF
Chat
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Option pricing in the moderate deviations regime
|
2017
|
Peter K. Friz
Stefan Gerhold
Arpad Pinter
|
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Dynamic trading under integer constraints
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2017
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Stefan Gerhold
Paul Krühner
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PDF
Chat
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Well-Ordered In Adatoms at the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>In</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>111</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math> Surface Created by Fe Deposition
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2016
|
M. Wagner
Peter Lackner
Steffen Seiler
Stefan Gerhold
Jacek Osiecki
Karina Schulte
L. A. Boatner
Michael Schmid
Bernd Meyer
Ulrike Diebold
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Consistency of option prices under bid-ask spreads
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2016
|
Stefan Gerhold
I. Cetin Gülüm
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+
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Consistency of option prices under bid-ask spreads
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2016
|
Stefan Gerhold
I. Cetin G ul um
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+
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Option Pricing in the Moderate Deviations Regime
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2016
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Peter K. Friz
Stefan Gerhold
Arpad Pinter
|
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Transition from Reconstruction toward Thin Film on the (110) Surface of Strontium Titanate
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2016
|
Zequn Wang
Annelies van Loon
A. Subramanian
Stefan Gerhold
Eamon McDermott
James A. Enterkin
Marcel Hieckel
B. C. Russell
R. J. Green
A. Moewes
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PDF
Chat
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Fe3O4(110)–(1 × 3) revisited: Periodic (111) nanofacets
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2016
|
Gareth S. Parkinson
Peter Lackner
Oscar Gamba
Sebastian Maaß
Stefan Gerhold
Michele Riva
Roland Bliem
Ulrike Diebold
Michael Schmid
|
+
PDF
Chat
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Small-Maturity Asymptotics for the At-The-Money Implied Volatility Slope in Lévy Models
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2016
|
Stefan Gerhold
I. Cetin Gülüm
Arpad Pinter
|
+
PDF
Chat
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Option Pricing in the Moderate Deviations Regime
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2016
|
Peter K. Friz
Stefan Gerhold
Arpad Pinter
|
+
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Consistency of option prices under bid-ask spreads
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2016
|
Stefan Gerhold
I. Cetin Gülüm
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+
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Option Pricing in the Moderate Deviations Regime
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2016
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Peter K. Friz
Stefan Gerhold
Arpad Pinter
|
+
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A variant of Strassen's theorem: Existence of martingales within a prescribed distance
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2015
|
Stefan Gerhold
I. Cetin Gülüm
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+
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Peacocks nearby: approximating sequences of measures
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2015
|
Stefan Gerhold
I. Cetin Gülüm
|
+
PDF
Chat
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Small time central limit theorems for semimartingales with applications
|
2015
|
Stefan Gerhold
Max Kleinert
Piet Porkert
Mykhaylo Shkolnikov
|
+
PDF
Chat
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Refined wing asymptotics for the Merton and Kou jump diffusion models
|
2015
|
Stefan Gerhold
Johannes F. Morgenbesser
Axel Zrunek
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+
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Peacocks nearby: approximating sequences of measures
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2015
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Stefan Gerhold
I. Cetin Gülüm
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+
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Extrapolation Analytics for Dupire’s Local Volatility
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2015
|
Peter K. Friz
Stefan Gerhold
|
+
PDF
Chat
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Disproof of a conjecture by Rademacher on partial fractions
|
2014
|
Michael Drmota
Stefan Gerhold
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Stabilizing Single Ni Adatoms on a Two-Dimensional Porous Titania Overlayer at the SrTiO<sub>3</sub>(110) Surface
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2014
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Zhiming Wang
Xianfeng Hao
Stefan Gerhold
Petr Mareš
M. Wagner
Roland Bliem
Karina Schulte
Michael Schmid
Cesare Franchini
Ulrike Diebold
|
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PDF
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Vacancy clusters at domain boundaries and band bending at the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mrow><mml:mi mathvariant="normal">SrTiO</mml:mi></mml:mrow><mml:mn>3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mn>110</mml:mn><mml:mo>)</mml:mo></mml:math>surface
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2014
|
Zhiming Wang
Xianfeng Hao
Stefan Gerhold
Michael Schmid
Cesare Franchini
Ulrike Diebold
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PDF
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How to make Dupire’s local volatility work with jumps
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2014
|
Peter K. Friz
Stefan Gerhold
Marc Yor
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+
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Anisotropic two-dimensional electron gas at SrTiO <sub>3</sub> (110)
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2014
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Zhiming Wang
Zhicheng Zhong
Xianfeng Hao
Stefan Gerhold
Bernhard Stöger
Michael Schmid
J. Sánchez‐Barriga
A. Varykhalov
Cesare Franchini
Karsten Held
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+
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Refined wing asymptotics for the Merton and Kou jump diffusion models
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2014
|
Stefan Gerhold
Johannes F. Morgenbesser
Axel Zrunek
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+
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Refined wing asymptotics for the Merton and Kou jump diffusion models
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2014
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Stefan Gerhold
Johannes F. Morgenbesser
Axel Zrunek
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+
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Refined wing asymptotics for the Merton and Kou jump diffusion models
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2014
|
Stefan Gerhold
Johannes F. Morgenbesser
Axel Zrunek
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+
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Disproof of a conjecture by Rademacher on partial fractions
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2013
|
Michael Drmota
Stefan Gerhold
|
+
PDF
Chat
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DIGITAL DOUBLE BARRIER OPTIONS: SEVERAL BARRIER PERIODS AND STRUCTURE FLOORS
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2013
|
Sühan Altay
Stefan Gerhold
Rainer Haidinger
Karin Hirhager
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+
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Water Adsorption at the Tetrahedral Titania Surface Layer of SrTiO<sub>3</sub>(110)-(4 × 1)
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2013
|
Zhiming Wang
Xianfeng Hao
Stefan Gerhold
Zbyněk Novotný
Cesare Franchini
Eamon McDermott
Karina Schulte
Michael Schmid
Ulrike Diebold
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+
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Stoichiometry-driven switching between surface reconstructions on SrTiO3(001)
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2013
|
Stefan Gerhold
Zhiming Wang
Michael Schmid
Ulrike Diebold
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+
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Small-maturity asymptotics for the at-the-money implied volatility slope in L\'evy models
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2013
|
Stefan Gerhold
I. Cetin Gülüm
Arpad Pinter
|
+
PDF
Chat
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Transaction costs, trading volume, and the liquidity premium
|
2013
|
Stefan Gerhold
Paolo Guasoni
Johannes Muhle‐Karbe
Walter Schachermayer
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+
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How to make Dupire's local volatility work with jumps
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2013
|
Peter K. Friz
Stefan Gerhold
Marc Yor
|
+
PDF
Chat
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Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order
|
2013
|
Stefan Gerhold
Manuel Kauers
Christoph Koutschan
Peter Paule
Carsten Schneider
Burkhard Zimmermann
|
+
PDF
Chat
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How to Make Dupire's Local Volatility Work with Jumps
|
2013
|
Peter K. Friz
Stefan Gerhold
Marc Yor
|
+
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Disproof of a conjecture by Rademacher on partial fractions
|
2013
|
Michael Drmota
Stefan Gerhold
|
+
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How to make Dupire's local volatility work with jumps
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2013
|
Peter K. Friz
Stefan Gerhold
Marc Yor
|
+
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Small-maturity asymptotics for the at-the-money implied volatility slope in Lévy models
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2013
|
Stefan Gerhold
I. Cetin Gülüm
Arpad Pinter
|
+
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Can there be an explicit formula for implied volatility
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2012
|
Stefan Gerhold
|
+
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Small time central limit theorems for semimartingales with applications
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2012
|
Stefan Gerhold
Max Kleinert
Piet Porkert
Mykhaylo Shkolnikov
|
+
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Digital double barrier options: Several barrier periods and structure floors
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2012
|
Sühan Altay
Stefan Gerhold
Karin Hirhager
|
+
PDF
Chat
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Transaction Costs, Trading Volume, and the Liquidity Premium
|
2012
|
Stefan Gerhold
Paolo Guasoni
Johannes Muhle‐Karbe
Walter Schachermayer
|
+
PDF
Chat
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Can There Be an Explicit Formula for Implied Volatility?
|
2012
|
Stefan Gerhold
|
+
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Small time central limit theorems for semimartingales with applications
|
2012
|
Stefan Gerhold
Max Kleinert
Piet Porkert
Mykhaylo Shkolnikov
|
+
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Digital double barrier options: Several barrier periods and structure floors
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2012
|
Sühan Altay
Stefan Gerhold
Karin Hirhager
|
+
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Can there be an explicit formula for implied volatility?
|
2012
|
Stefan Gerhold
|
+
PDF
Chat
|
Asymptotics and duality for the Davis and Norman problem
|
2011
|
Stefan Gerhold
Johannes Muhle‐Karbe
Walter Schachermayer
|
+
PDF
Chat
|
The dual optimizer for the growth-optimal portfolio under transaction costs
|
2011
|
Stefan Gerhold
Johannes Muhle‐Karbe
Walter Schachermayer
|
+
PDF
Chat
|
The Hartman-Watson Distribution Revisited: Asymptotics for Pricing Asian Options
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2011
|
Stefan Gerhold
|
+
PDF
Chat
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The Hartman-Watson Distribution Revisited: Asymptotics for Pricing Asian Options
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2011
|
Stefan Gerhold
|
+
PDF
Chat
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On refined volatility smile expansion in the Heston model
|
2011
|
Peter K. Friz
Stefan Gerhold
Archil Gulisashvili
Stephan Sturm
|
+
PDF
Chat
|
Asymptotics for a variant of the Mittag–Leffler function
|
2011
|
Stefan Gerhold
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+
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Don't stay local - extrapolation analytics for Dupire's local volatility
|
2011
|
Peter K. Friz
Stefan Gerhold
|
+
PDF
Chat
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The Longstaff–Schwartz algorithm for Lévy models: Results on fast and slow convergence
|
2011
|
Stefan Gerhold
|
+
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Asymptotics for a Variant of the Mittag-Leffler Function
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2011
|
Stefan Gerhold
|
+
PDF
Chat
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Moment explosion in the LIBOR market model
|
2011
|
Stefan Gerhold
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+
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THE HARTMAN-WATSON DISTRIBUTION
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2011
|
Stefan Gerhold
|
+
PDF
Chat
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Counting Finite Languages by Total Word Length
|
2011
|
Stefan Gerhold
|
+
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Don't stay local - extrapolation analytics for Dupire's local volatility
|
2011
|
Peter K. Friz
Stefan Gerhold
|
+
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Transaction Costs, Trading Volume, and the Liquidity Premium
|
2011
|
Stefan Gerhold
Paolo Guasoni
Johannes Muhle‐Karbe
Walter Schachermayer
|
+
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Asymptotics for a Variant of the Mittag-Leffler Function
|
2011
|
Stefan Gerhold
|
+
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Moment Explosion in the LIBOR Market Model
|
2010
|
Stefan Gerhold
|
+
PDF
Chat
|
Convergence properties of Kemp’s q-binomial distribution
|
2010
|
Stefan Gerhold
Martin Zeiner
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+
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Counting Finite Languages by Total Word Length
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2010
|
Stefan Gerhold
|
+
PDF
Chat
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Lindelöf Representations and (Non-)Holonomic Sequences
|
2010
|
Philippe Flajolet
Stefan Gerhold
Bruno Salvy
|
+
PDF
Chat
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The Dynamic Dictionary of Mathematical Functions (DDMF)
|
2010
|
Alexandre Benoît
Frédéric Chyzak
Alexis Darrasse
Stefan Gerhold
Marc Mezzarobba
Bruno Salvy
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+
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On refined volatility smile expansion in the Heston model
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2010
|
Peter K. Friz
Stefan Gerhold
Archil Gulisashvili
Stephan Sturm
|
+
PDF
Chat
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Asymptotic estimates for some number-theoretic power series
|
2010
|
Stefan Gerhold
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+
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The dual optimizer for the growth-optimal portfolio under transaction costs
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2010
|
Stefan Gerhold
Johannes Muhle‐Karbe
Walter Schachermayer
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+
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Moment Explosion in the LIBOR Market Model
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2010
|
Stefan Gerhold
|
+
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Asymptotics and Duality for the Davis and Norman Problem
|
2010
|
Stefan Gerhold
Johannes Muhle‐Karbe
Walter Schachermayer
|
+
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The Hartman-Watson Distribution revisited: Asymptotics for Pricing Asian Options
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2010
|
Stefan Gerhold
|
+
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Counting Finite Languages by Total Word Length
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2010
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Stefan Gerhold
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+
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Lindel\"of Representations and (Non-)Holonomic Sequences
|
2009
|
Philippe Flajolet
Stefan Gerhold
Bruno Salvy
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+
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The Shape of the Value Sets of Linear Recurrence Sequences
|
2009
|
Stefan Gerhold
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+
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Lindelöf Representations and (Non-)Holonomic Sequences
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2009
|
Philippe Flajolet
Stefan Gerhold
Bruno Salvy
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+
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Asymptotic Analysis of Some Discrete Distributions by the Saddle Point Method
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2008
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Stefan Gerhold
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+
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Combinatorial Sequences: Non-Holonomicity and Inequalities
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2008
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Stefan Gerhold
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+
PDF
Chat
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Non-Holonomicity of Sequences Defined via Elementary Functions
|
2008
|
Jason P. Bell
Stefan Gerhold
Martin Klazar
Florian Luca
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+
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Levy-Sheffer Systems and the Longstaff-Schwartz Algorithm for American Option Pricing
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2008
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Stefan Gerhold
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+
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Finding efficient recursions for risk aggregation by computer algebra
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2008
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Stefan Gerhold
Richard Warnung
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+
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On a Certain Functional Equation: Oscillations in the Solutions and their Taylor Coecients
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2008
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Stefan Gerhold
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+
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Convergence Properties of Kemp's q-Binomial Distribution
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2008
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Stefan Gerhold
Martin Zeiner
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+
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Computing the complexity for Schelling segregation models
|
2007
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Stefan Gerhold
Lev Glebsky
Carsten Schneider
Howard M. Weiss
Burkhard Zimmermann
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+
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The Riff-Shuffle Distribution is Unimodal
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2007
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Stefan Gerhold
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+
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On the positivity set of a linear recurrence sequence
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2007
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Jason P. Bell
Stefan Gerhold
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+
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Finding Efficient Recursions for Risk Aggregation by Computer Algebra
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2007
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Stefan Gerhold
Richard Warnung
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+
PDF
Chat
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On Turán's inequality for Legendre polynomials
|
2006
|
Horst Alzer
Stefan Gerhold
Manuel Kauers
Alexandru Lupaş
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+
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Non-Holonomicity of Sequences Defined via Elementary Functions
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2006
|
Jason P. Bell
Stefan Gerhold
Martin Klazar
Florian Luca
|
+
PDF
Chat
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A procedure for proving special function inequalities involving a discrete parameter
|
2005
|
Stefan Gerhold
Manuel Kauers
|
+
PDF
Chat
|
Point lattices and oscillating recurrence sequences<sup>†</sup>
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2005
|
Stefan Gerhold
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+
PDF
Chat
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On the Non-Holonomic Character of Logarithms, Powers, and the $n$th Prime Function
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2005
|
Philippe Flajolet
Stefan Gerhold
Bruno Salvy
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The Positivity Set of a Recurrence Sequence
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2005
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Jason P. Bell
Stefan Gerhold
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A Computer Proof of Turan's Inequality
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2005
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Stefan Gerhold
Manuel Kauers
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On the non-holonomic character of logarithms, powers, and the n-th prime function
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2005
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Philippe Flajolet
Stefan Gerhold
Bruno Salvy
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Point Lattices and Oscillating Recurrence Sequences
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2005
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Stefan Gerhold
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PDF
Chat
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On Some Non-Holonomic Sequences
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2004
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Stefan Gerhold
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PDF
Chat
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Hole distribution in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Sr</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">Ca</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">Y</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">La</mml:mi><mml:mrow><mml:msub><mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mn>14</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="…
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2000
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N. Nücker
Michael Merz
C. A. Kuntscher
Stefan Gerhold
S. Schuppler
R. Neudert
M. S. Golden
J. Fink
Dieter Schild
Shane Stadler
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