Andreas Boukas

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All published works

Action	Title	Year	Authors
+ PDF Chat	HOLOMORPHIC FUNCTIONAL CALCULUS APPROACH TO THE CHARACTERISTIC FUNCTION OF QUANTUM OBSERVABLES	2024	Andreas Boukas
+ PDF Chat	On the Diagonalizability and Factorizability of Quadratic Boson Fields	2022	Luigi Accardi Andreas Boukas Yun Gang Lu A. E. Teretenkov
+ PDF Chat	Spectral Theorem Approach to the Characteristic Function of Quantum Observables	2022	Andreas Boukas
+	The Non–linear and Quadratic Quantization Programs	2022	Luigi Accardi Andreas Boukas Yun Gang Lu A. E. Teretenkov
+ PDF Chat	The n-Dimensional Quadratic Heisenberg Algebra as a “Non–Commutative” sl(2,C)	2021	Luigi Accardi Andreas Boukas Yun Gang Lu
+	The $n$-dimensional quadratic Heisenberg algebra as a "non--commutative" $\rm{sl}(2,\mathbb{C})$	2021	Luigi Accardi Andreas Boukas Yun Gang Lu
+ PDF Chat	Von Neumann's Minimax Theorem for Continuous Quantum Games	2020	Luigi Accardi Andreas Boukas
+	Bogolyubov Endomorphisms and Non-Commutative Hyperbolic Functions	2020	Luigi Accardi Andreas Boukas Yun Gang Lu Hajer Taouil
+ PDF Chat	Spectral Theorem Approach to the Characteristic Function of Quantum Observables	2019	Andreas Boukas Philip Feinsilver
+ PDF Chat	Normally Ordered Disentanglement of Multi-Dimensional Schrödinger Algebra Exponentials	2019	Luigi Accardi Andreas Boukas
+	The Vacuum Distributions of the Truncated Virasoro Fields are Products of Gamma Distributions	2017	Luigi Accardi Andreas Boukas Yun Gang Lu
+ PDF Chat	Probability distributions and orthogonal polynomials associated with the one-parameter Fibonacci group	2016	Andreas Boukas Philip Feinsilver Anargyros Fellouris
+	On the Lie structure of zero row sum and related matrices	2015	Andreas Boukas Philip Feinsilver Anargyros Fellouris
+ PDF Chat	Structure and decompositions of the linear span of generalized stochastic matrices	2015	Andreas Boukas Philip Feinsilver Anargyros Fellouris
+	Contractions and central extensions of Quantum White Noise Lie algebras	2015	Luigi Accardi Andreas Boukas
+	Fourier transform of random variables associated with the multi-dimensional Heisenberg Lie algebra	2015	Luigi Accardi Andreas Boukas
+	Optimal Hamiltonian of Fermion Flows	2013	Luigi Accardi Andreas Boukas
+	Application of Quantum Stochastic Calculus to Feedback Control	2013	Andreas Boukas Aghia Paraskevi
+	Quadratic control of quantum processes	2013	Luigi Accardi Andreas Boukas
+ PDF Chat	CENTRAL EXTENSION OF VIRASORO TYPE SUBALGEBRAS OF THE ZAMOLODCHIKOV-ω<sub>∞</sub>LIE ALGEBRA	2013	Luigi Accardi Andreas Boukas
+	Optimal Hamiltonian of Fermion Flows	2013	Luigi Accardi Andreas Boukas
+ PDF Chat	Renormalization and central extensions	2012	Luigi Accardi Andreas Boukas
+	The Schrödinger Fock kernel and the no-go theorem for the first order and Renormalized Square of White Noise Lie algebras	2011	Luigi Accardi Andreas Boukas
+	On Vieta's formulas and the determination of a set of positive integers by their sum and product	2011	Theodoros M Valahas Andreas Boukas
+ PDF Chat	EXISTENCE OF THE FOCK REPRESENTATION FOR CURRENT ALGEBRAS OF THE GALILEI ALGEBRA	2011	Luigi Accardi Andreas Boukas Jolanta Misiewicz
+ PDF Chat	On the characteristic function of random variables associated with boson Lie algebras	2010	Luigi Accardi Andreas Boukas
+	On the Fock representation of the central extensions of the Heisenberg algebra	2010	Luigi Accardi Andreas Boukas
+ PDF Chat	ON THE CENTRAL EXTENSIONS OF THE HEISENBERG ALGEBRA	2010	Luigi Accardi Andreas Boukas
+ PDF Chat	Central extensions and stochastic processes associated with the Lie algebra of the renormalized higher powers of white noise	2010	Luigi Accardi Andreas Boukas
+	COHOMOLOGY OF THE VIRASORO–ZAMOLODCHIKOV AND RENORMALIZED HIGHER POWERS OF WHITE NOISE *-LIE ALGEBRAS	2009	Luigi Accardi Andreas Boukas
+	Analytic central extensions of infinite dimensional white noise *–Lie algebras	2009	Luigi Accardi Andreas Boukas
+	Intersection of the Exponential and Logarithmic Curves	2009	Andreas Boukas Theodoros M Valahas
+ PDF Chat	Fock representation of the renormalized higher powers of White noise and the centreless Virasoro (or Witt)–Zamolodchikov–<i>w</i><sub>∞</sub>*-Lie algebra	2008	Luigi Accardi Andreas Boukas
+ PDF Chat	Renormalized higher powers of white noise and the virasoro-zamolodchikov-w∞ algebra	2008	Luigi Accardi Andreas Boukas
+	Editorial Board	2008
+	Minimal Operation Time of Energy Devices	2008	Andreas Boukas
+	Central extensions of the Heisenberg algebra	2008	Luigi Accardi Andreas Boukas
+	POWERS OF THE DELTA FUNCTION	2007	Luigi Accardi Andreas Boukas
+	The Quantum Black-Scholes Equation	2007	Luigi Accardi Andreas Boukas
+ PDF Chat	Lie algebras associated with the renormalized higher powers of white noise	2007	Luigi Accardi Andreas Boukas
+	A Simple Geometric Construction of 'e'	2007	Theodoros M Valahas Andreas Boukas
+	Itô Calculus and Quantum White Noise Calculus	2007	Luigi Accardi Andreas Boukas
+	On the Fock representation of the renormalized powers of quantum white noise	2007	Luigi Accardi Andreas Boukas
+	Powers of the Delta Function,Quantum Probability and White Noise Analysis,	2007	Luigi Accardi Andreas Boukas
+	The Quantum Black-Scholes Equation	2007	Luigi Accardi Andreas Boukas
+ PDF Chat	RENORMALIZED HIGHER POWERS OF WHITE NOISE (RHPWN) AND CONFORMAL FIELD THEORY	2006	Luigi Accardi Andreas Boukas
+	Higher powers of $q$-deformed white noise	2006	Luigi Accardi Andreas Boukas
+	RECENT ADVANCES IN QUANTUM WHITE NOISE CALCULUS	2006	Luigi Accardi Andreas Boukas
+ PDF Chat	RENORMALIZED POWERS OF QUANTUM WHITE NOISE	2006	Luigi Accardi Andreas Boukas Uwe Franz
+	The emergence of the Virasoro and $w_{\infty}$ algebras through the renormalized powers of quantum white noise	2006	Luigi Accardi Andreas Boukas
+	Renormalized Higher Powers of White Noise (RHPWN) and Conformal Field Theory	2006	Luigi Accardi Andreas Boukas
+	Optimal Hamiltonian for Fermion flows	2006	Luigi Accardi Andreas Boukas
+	Commutators associated with the renormalized powers of quantum white noise	2005	Luigi Accardi Andreas Boukas
+ PDF Chat	WHITE NOISE CALCULUS AND STOCASTIC CALCULUS	2005	Luigi Accardi Andreas Boukas
+ PDF Chat	Quantum stochastic Weyl operators	2004	Luigi Accardi Andreas Boukas
+	Square of White Noise Unitary Evolutions on Boson Fock Space	2004	Luigi Accardi Andreas Boukas
+	The Unitarity Conditions for the Square of White Noise	2003	Luigi Accardi Andreas Boukas
+	Control of elementary quantum flows	2003	Luigi Accardi Andreas Boukas
+ PDF Chat	The Semi-Martingale Property of the Square of White Noise Integrators	2002	Luigi Accardi Andreas Boukas
+ PDF Chat	The Semi-Martingale Property of the Square of White Noise Integrators	2002	Luigi Accardi Andreas Boukas
+ PDF Chat	ON THE UNITARITY OF STOCHASTIC EVOLUTIONS DRIVEN BY THE SQUARE OF WHITE NOISE	2001	Luigi Accardi Andreas Boukas HUI-HSUNG KUO
+	Unitarity conditions for the renormalized square of white noise	2000	Luigi Accardi Andreas Boukas
+	None	2000	Andreas Boukas
+	QUANTUM STOCHASTIC INTEGRAL EQUATIONS WITH EXPONENTIAL NOISE	1995	Andreas Boukas
+	STOCHASTIC CALCULUS ON THE FINITE-DIFFERENCE FOCK SPACE	1991	Andreas Boukas
+	An example of a quantum exponential process	1991	Andreas Boukas

Common Coauthors

Coauthor	Papers Together
Luigi Accardi	51
Yun Gang Lu	6
Philip Feinsilver	4
Theodoros M Valahas	3
Anargyros Fellouris	3
A. E. Teretenkov	2
HUI-HSUNG KUO	1
Hajer Taouil	1
Aghia Paraskevi	1
Uwe Franz	1
Jolanta Misiewicz	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Renormalized Squares of White Noise¶and Other Non-Gaussian Noises as Lévy Processes¶on Real Lie Algebras	2002	Luigi Accardi Uwe Franz Michael Skeide	14
+ PDF Chat	RENORMALIZED POWERS OF QUANTUM WHITE NOISE	2006	Luigi Accardi Andreas Boukas Uwe Franz	13
+ PDF Chat	Quantum Ito's formula and stochastic evolutions	1984	R. L. Hudson K. R. Parthasarathy	12
+ PDF Chat	RENORMALIZED HIGHER POWERS OF WHITE NOISE (RHPWN) AND CONFORMAL FIELD THEORY	2006	Luigi Accardi Andreas Boukas	8
+	The emergence of the Virasoro and $w_{\infty}$ algebras through the renormalized powers of quantum white noise	2006	Luigi Accardi Andreas Boukas	8
+	Conformal field theory	1995	Sergei V. Ketov	8
+	Conformal Field Theory	1995	Sergei V. Ketov	7
+ PDF Chat	On the characteristic function of random variables associated with boson Lie algebras	2010	Luigi Accardi Andreas Boukas	7
+	Discrete analogues of the Heisenberg-Weyl algebra	1987	Philip Feinsilver	6
+	Fourier transform of random variables associated with the multi-dimensional Heisenberg Lie algebra	2015	Luigi Accardi Andreas Boukas	6
+	Infinite additional symmetries in two-dimensional conformal quantum field theory	1985	A. B. Zamolodchikov	6
+	Higher powers of $q$-deformed white noise	2006	Luigi Accardi Andreas Boukas	6
+ PDF Chat	Renormalized higher powers of white noise and the virasoro-zamolodchikov-w∞ algebra	2008	Luigi Accardi Andreas Boukas	6
+ PDF Chat	Quadratic Bosonic and Free White Noises	2000	Piotr niady	5
+	Unitarity conditions for the renormalized square of white noise	2000	Luigi Accardi Andreas Boukas	5
+	The Unitarity Conditions for the Square of White Noise	2003	Luigi Accardi Andreas Boukas	5
+	Calculation of Fourier transforms of a Brownian motion on the Heisenberg group using splitting formulas	2007	Ph. Feinsilver Gyula Pap	5
+	Structure and Representations of the<i>W</i><sub>∞</sub>Algebra	1990	Ioannis Bakas Elias Kiritsis	5
+ PDF Chat	Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras	2009	Luigi Accardi	4
+ PDF Chat	ON THE UNITARITY OF STOCHASTIC EVOLUTIONS DRIVEN BY THE SQUARE OF WHITE NOISE	2001	Luigi Accardi Andreas Boukas HUI-HSUNG KUO	4
+	ON THE RELATION OF THE SQUARE OF WHITE NOISE AND THE FINITE DIFFERENCE ALGEBRA	2000	Luigi Accardi Michael Skeide	4
+	An example of a quantum exponential process	1991	Andreas Boukas	4
+ PDF Chat	Representations of the Schrödinger algebra and Appell systems	2004	Philip Feinsilver Jerzy Kocik René Schott	4
+	Symmetries, Lie Algebras and Representations: A Graduate Course for Physicists	1997	Jürgen Fuchs Christoph Schweigert	4
+	Application of Quantum Stochastic Calculus to Feedback Control	2013	Andreas Boukas Aghia Paraskevi	4
+	Four dimensional symplectic Lie algebras	2004	Gabriela P. Ovando	4
+ PDF Chat	SECOND QUANTIZED AUTOMORPHISMS OF THE RENORMALIZED SQUARE OF WHITE NOISE (RSWN) ALGEBRA	2004	Luigi Accardi Г. Г. Амосов Uwe Franz	4
+	Differential Relations and Recurrence Formulas for Representations of Lie Groups	1996	P. Feinsiluer René Schott	4
+ PDF Chat	Fock representation of the renormalized higher powers of White noise and the centreless Virasoro (or Witt)–Zamolodchikov–<i>w</i><sub>∞</sub>*-Lie algebra	2008	Luigi Accardi Andreas Boukas	4
+	Square of White Noise Unitary Evolutions on Boson Fock Space	2004	Luigi Accardi Andreas Boukas	3
+ PDF Chat	Lie algebras associated with the renormalized higher powers of white noise	2007	Luigi Accardi Andreas Boukas	3
+ PDF Chat	The Semi-Martingale Property of the Square of White Noise Integrators	2002	Luigi Accardi Andreas Boukas	3
+	ON THE QUADRATIC HEISENBERG GROUP	2010	Luigi Accardi Habib Ouerdiane Habib Rebei	3
+	COHOMOLOGY OF THE VIRASORO–ZAMOLODCHIKOV AND RENORMALIZED HIGHER POWERS OF WHITE NOISE *-LIE ALGEBRAS	2009	Luigi Accardi Andreas Boukas	3
+ PDF Chat	White Noise on Bialgebras	1993	Michael Schürmann	3
+ PDF Chat	Positive Definite Kernels, Continuous Tensor Products, and Central Limit Theorems of Probability Theory	1972	K. R. Parthasarathy K. W. Schmidt	3
+	Control of elementary quantum flows	2003	Luigi Accardi Andreas Boukas	3
+ PDF Chat	Central extensions and stochastic processes associated with the Lie algebra of the renormalized higher powers of white noise	2010	Luigi Accardi Andreas Boukas	3
+	The Vacuum Distributions of the Truncated Virasoro Fields are Products of Gamma Distributions	2017	Luigi Accardi Andreas Boukas Yun Gang Lu	3
+ PDF Chat	None	2000	Luigi Accardi	3
+ PDF Chat	Symmetric Hilbert Spaces and Related Topics	1972	Alain Guichardet	3
+	The infinite-dimensional Riccati equation	1974	Ruth F. Curtain A. J. Pritchard	3
+	The structure of theW ∞ algebra	1990	Ioannis Bakas	3
+	Introduction to Lie Algebras and Representation Theory	1972	James E. Humphreys	2
+ PDF Chat	Fourier analysis and its applications	1992	Gerald B. Folland	2
+	Lie Groups, Lie Algebras, and Representations: An Elementary Introduction	2004	Brian C. Hall	2
+	None	2001	B. Grigelionis	2
+ PDF Chat	RENORMALIZED SQUARES OF BOSON FIELDS	2005	Luigi Accardi R.A. ROSCHIN	2
+	Central extensions of the Heisenberg algebra	2008	Luigi Accardi Andreas Boukas	2
+ PDF Chat	BEREZIN QUANTIZATION OF THE SCHRÖDINGER ALGEBRA	2003	Philip Feinsilver Jerzy Kocik René Schott	2