Mathematics Applied Mathematics

Point processes and geometric inequalities

Description

This cluster of papers focuses on the analysis and modeling of spatial point patterns, including methods such as spatstat, design-based stereology, Lp Minkowski inequalities, and Hawkes processes. It covers topics related to convex bodies, valuations, estimation methods, and neuronal counting techniques in various scientific fields.

Keywords

Spatstat; Point Processes; Stereology; Minkowski Inequalities; Hawkes Processes; Convex Bodies; Valuations; Estimation Methods; Neuronal Counting; Statistical Analysis

Most Cited Works

Action Title Date Authors
Flow by mean curvature of convex surfaces into spheres 1984-01-01 Gerhard Huisken
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Geometry of Discrete Groups 2006-11-27 Alan F. Beardon
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Fundamentals of Convex Analysis 2001-01-01 Jean‐Baptiste Hiriart‐Urruty Claude Lemaréchal
Statistical Inference and Simulation for Spatial Point Processes 2003-09-25 Jesper Møller Rasmus Waagepetersen
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Lectures on Analysis on Metric Spaces 2001-01-01 Juha Heinonen
The heat equation shrinking convex plane curves 1986-01-01 Michael E. Gage Richard S. Hamilton
Topics in Optimal Transportation 2003-03-25 Cédric Villani
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Random Point Processes in Time and Space 1991-01-01 Donald L. Snyder Michael I. Miller
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<b>spatstat</b>: An<i>R</i>Package for Analyzing Spatial Point Patterns 2005-01-01 Adrian Baddeley Rolf Turner
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The spaces in a uniform random suspension of fibres 1958-01-01 A. G. Ogston
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The efficiency of systematic sampling in stereology — reconsidered 1999-03-01 H. J. G. Gundersen Eva B. Vedel Jensen Kiên Kiêu Jens Nielsen
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Methods for determining numbers of cells and synapses: A case for more uniform standards of review 1996-01-01 Richard E. Coggeshall Helena A. Lekan
On the geometry of metric measure spaces. II 2006-01-01 Karl‐Theodor Sturm
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The efficiency of systematic sampling in stereology and its prediction* 1987-09-01 H. J. G. Gundersen Eva B. Vedel Jensen
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Unbiased stereological estimation of the number of neurons in the human hippocampus 1990-06-01 Mark J. West H. J. G. Gundersen
Computing the distribution of quadratic forms in normal variables 1961-01-01 J. P. Imhof
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Space-Time Point-Process Models for Earthquake Occurrences 1998-06-01 Yosihiko Ogata
The second-order analysis of stationary point processes 1976-06-01 B. D. Ripley
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ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS 1955-01-01 Herbert A. Simon
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Some new, simple and efficient stereological methods and their use in pathological research and diagnosis 1988-01-01 H. J. G. Gundersen Thomas Fichtner Bendtsen Lise Korbo Niels Marcussen Arne Møller K Nielsen J. R. Nyengaard Bente Pakkenberg Flemming Brandt Sørensen A. Vesterby
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Neocortical neuron number in humans: Effect of sex and age 1997-07-28 Bente Pakkenberg H. J. G. Gundersen
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The plane with parallel coordinates 1985-08-01 Alfred Inselberg
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Contact Interactions on a Lattice 1974-12-01 T. E. Harris
Centroidal Voronoi Tessellations: Applications and Algorithms 1999-01-01 Qiang Du Vance Faber Max Gunzburger
An Introduction to the Theory of Point Processes 2007-12-28 D. J. Daley D. Vere-Jones
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Point Processes and Queues 1981-01-01 Pierre Brémaud
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Statistical Models for Earthquake Occurrences and Residual Analysis for Point Processes 1988-03-01 Yosihiko Ogata
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Spectra of some self-exciting and mutually exciting point processes 1971-01-01 Alan G. Hawkes
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Convergence of convex sets and of solutions of variational inequalities 1969-10-01 Umberto Mosco
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Molecular Structure of β-Amyloid Fibrils in Alzheimer’s Disease Brain Tissue 2013-09-01 Junxia Lu Wei Qiang Wai‐Ming Yau Charles D. Schwieters Stephen C. Meredith Robert Tycko
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Dynamical systems with elastic reflections 1970-04-30 Yakov G. Sinai
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The new stereological tools: Disector, fractionator, nucleator and point sampled intercepts and their use in pathological research and diagnosis 1988-07-01 H.J.G. Gundersen Peter V. Bagger Thomas Fichtner Bendtsen Stephen M. Evans Lise Korbo Niels Marcussen Arne Möller K Nielsen J. R. Nyengaard Bente Pakkenberg
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The unbiased estimation of number and sizes of arbitrary particles using the disector 1984-05-01 D. C. Sterio
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Stereology of arbitrary particles. A review of unbiased number and size estimators and the presentation of some new ones, in memory of William R. Thompson. 1986-07-01 H. J. G. Gundersen
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Unbiased stereological estimation of the total number of neurons in the subdivisions of the rat hippocampus using the optical fractionator 1991-12-01 Mark J. West Lutz Slomianka H.J.G. Gundersen
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Estimation of surface area from vertical sections 1986-06-01 Adrian Baddeley H. J. G. Gundersen Luis M. Cruz‐Orive
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Spectral asymmetry and Riemannian Geometry. I 1975-01-01 Michael Atiyah V. K. Patodi I. M. Singer
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A Point Process Framework for Relating Neural Spiking Activity to Spiking History, Neural Ensemble, and Extrinsic Covariate Effects 2004-09-09 Wilson Truccolo Uri T. Eden Matthew Fellows John P. Donoghue Emery N. Brown
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Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality 2000-06-01 Félix Otto Cédric Villani
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Exponents for the excluded volume problem as derived by the Wilson method 1972-02-01 P. G. de Gennes
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On the ratio of optimal integral and fractional covers 1975-01-01 László Lovász
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On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents 1957-07-01 Lester E. Dubins
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Some Maximal Inequalities 1971-01-01 Charles Fefferman E. M. Stein
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Isoperimetric Inequalities in Mathematical Physics. (AM-27) 1951-12-31 Georg Pólya Giorgio P. Szegö
Introduction to the non-asymptotic analysis of random matrices 2012-05-17 Roman Vershynin
Calibrated geometries 1982-01-01 Reese Harvey H. Blaine Lawson
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A sharp form of an inequality by N. Trudinger 1971-01-01 J. Moser
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Analysis and Geometry of Markov Diffusion Operators 2013-11-15 Dominique Bakry Ivan Gentil Michel Ledoux
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Stereology of arbitrary particles* 1986-07-01 H. J. G. Gundersen
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Concentration inequalities : a non asymptotic theory of independence 2013-01-01 Stéphane Boucheron Gábor Lugosi Pascal Massart

Most Recent Works

Action Title Date Authors
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A Plug-and-Play Bregman ADMM Module for Inferring Event Branches in Temporal Point Processes 2025-04-11 Qingmei Wang Yuxin Wu Long Yuan Jing Huang Feng Ran Bing Su Hongteng Xu
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On a continuous n-dimensional Rubik’s cube without 2-dimensional symmetries 2025-04-12 Reema A. Sbeih
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Optimal Finsler–Hadwiger Inequalities 2025-04-14 Beniamin Bogosel
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Some geometric relations for equipotential curves 2025-04-14 Yajun Zhou
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On the Myrberg limit sets and Bowen–Margulis–Sullivan measures for visibility manifolds without conjugate points 2025-04-13 FEI LIU
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Jensen–Jessen Inequality for Convex Maps 2025-04-16 Zdzisław Otachel
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Inequalities and simulation methods for univariate log-concave densities 2025-04-15 Luc Devroye
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A Surjectivity Property of the Ratio of Two Derivatives 2025-04-16 Cristinel Mortici
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Umbilicity of complete linear Weingarten hypersurfaces immersed in certain Einstein manifolds 2025-04-17 Henrique F. de Lima Lucas S. Rocha Marco Antonio L. Velásquez
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Harmonic projections in negative curvature II: large convex sets 2025-04-17 Ognjen Tošić
The Ultimate Upper Bound on the Injectivity Radius of the Stiefel Manifold 2025-04-21 P.-A. Absil Simon Mataigne
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Modelling time-inhomogeneous incomplete records of point processes using variants of hidden Markov models 2025-04-23 Amina Shahzadi Ting Wang Matthew Parry Mark Bebbington
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A note on strongly clean elements 2025-04-18 Phan Hong Tin Nguyen Quoc Tien
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Two novel golden ratio algorithms for quasimonotone variational inequalities 2025-04-18 Haiying Li Wang Xing-fang
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On the concavity and convexity of 1/ζ 2025-04-18 Horst Alzer Man Kam Kwong
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Parametric inequalities and Weyl law for the volume spectrum 2025-04-21 Larry Guth Yevgeny Liokumovich
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Hölder continuity of tangent cones in RCD(K,N) spaces and applications to nonbranching 2025-04-21 Qin Deng
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Classification of bubble-sheet ovals in ℝ4 2025-04-21 Beomjun Choi Panagiota Daskalopoulos Wenkui Du Robert Haslhofer Nataša Šešum
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Carathéodory number and exchange number in δ-convexity 2025-04-23 Bijo S. Anand Arun Anil Manoj Changat Prasanth G. Narasimha-Shenoi Sabeer S. Ramla
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A curvature flow approach to the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si6.svg" display="inline" id="d1e26"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math> chord Minkowski problem 2025-04-24 Manli Cheng Lan Tang
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Collectively coincidence points based on inclusion properties 2025-04-24 Donal O’Regan
Inequalities for the Geometric-Mean Distance Metric 2025-04-24 Oona Rainio
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Expected extremal area of facets of random polytopes 2025-04-25 Brett Leroux Luis Rademacher Carsten Schütt Elisabeth M. Werner
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A Characterization of Three-Dimensional Convex Polytopes with Five Pairwise Antipodal Vertices 2025-04-25 Rong Guo Chan He Longzhen Zhang Senlin Wu
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Evaluation of <scp>ETAS</scp> and <scp>STEP</scp> Forecasting Models for California Seismicity Using Point Process Residuals 2025-04-24 Joshua Ward Maximilian J. Werner William H. Savran Frederic Paik Schoenberg
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Universality and non-embeddability into Banach spaces of subspaces of the real line with the Gromov–Hausdorff distance 2025-04-27 Sofiya Ostrovska Mikhail I. Ostrovskii
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A New Look at the Subrepresentation Formulas 2025-04-28 Cong Hoang Kabe Moen Carlos Pérez
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On Baernstein’s theorem for minimal surfaces 2025-04-28 Arnold Kowalski И. И. Марченко
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The <i>L</i> <sup>1</sup>-relaxed area of the graph of the vortex map: Optimal upper bound 2025-04-28 Giovanni Bellettini Alaa Elshorbagy Riccardo Scala
A Rényi entropy interpretation of anti-concentration and noncentral sections of convex bodies 2025-04-28 James Melbourne Tomasz Tkocz Katarzyna Wyczesany
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Affine quermassintegrals and even Minkowski valuations 2025-04-29 Georg C. Hofstätter Philipp Kniefacz Franz E. Schuster
Covering One Point Process with Another 2025-04-29 Frankie Higgs Mathew D. Penrose Xiaochuan Yang
Central limit theorems for the nearest neighbour embracing graph in Euclidean and hyperbolic space 2025-04-30 Holger Sambale Christoph Thäle Tara Trauthwein
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The width of embedded circles 2025-04-29 Lucas Ambrozio Rafael Montezuma Roney Santos
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تقدير معالم عمليات Hawkes باستخدام المحاكاة 2025-05-01 مهند السعدون أيمن نجم
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Spatial form factor for point patterns: Poisson point process, Coulomb gas, and vortex statistics 2025-05-01 M.J. Massaro Adolfo del Campo
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The Ideal Circle Pattern with Boundaries via Analytic Method 2025-05-02 Haoyong Yu
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On lattice illumination of smooth convex bodies 2025-05-01 Lenny Fukshansky
Volume gap between the minimal submanifold and the unit sphere 2025-04-30 Wei Ding Jianquan Ge Fagui Li
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Influence network reconstruction from discrete time-series of count data modelled by multidimensional Hawkes processes 2025-05-01 Naratip Santitissadeekorn Martin B. Short David J. B. Lloyd
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New approach to affine Moser–Trudinger inequalities via Besov polar projection bodies 2025-05-05 Óscar Domínguez Yinqin Li Sergey Tikhonov Dachun Yang Wen Yuan
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Metric extrapolation in the Wasserstein space 2025-05-05 Thomas Gallouët Andrea Natale Gabriele Todeschi
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Large deviations for the volume of hyperbolic k-nearest neighbor balls 2025-05-01 Christian Hirsch Moritz Otto Takashi Owada Christoph Thäle
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Self‐intersections of arcs on a pair of pants 2025-05-06 Nhat Minh Doan Hanh Nguyen Vo
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Wu maps and collectively coincidence theory 2025-05-07 Donal O’Regan
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Correction: A Central Limit Theorem Associated with a Sequence of Positive Line Bundles 2025-05-07 Afrim Bojnik Ozan Günyüz
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On the Convergence Rate of Sinkhorn’s Algorithm 2025-05-08 Promit Ghosal Marcel Nutz
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Extremal results on the spectral radius of function-weighted adjacency matrices 2025-05-08 Xueliang Li Ruiling Zheng
Gaussian zonoids, Gaussian determinants and Gaussian random fields 2025-05-09 Léo Mathis
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The Gauss Minkowski problem for unbounded closed convex sets 2025-05-10 Bin Chen Wei Shi