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Random geometric complexes in the thermodynamic regime

Probability theory and related fields, 2017-02, Vol.167 (1-2), p.107-142

2017

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Topology and geometry of Gaussian random fields I: on Betti numbers, Euler characteristic, and Minkowski functionals

Monthly notices of the Royal Astronomical Society, 2019-05, Vol.485 (3), p.4167-4208

2019

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ON THE TOPOLOGY OF RANDOM COMPLEXES BUILT OVER STATIONARY POINT PROCESSES

The Annals of applied probability, 2015-12, Vol.25 (6), p.3338-3380

2015

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LIMIT THEOREMS FOR POINT PROCESSES UNDER GEOMETRIC CONSTRAINTS (AND TOPOLOGICAL CRACKLE)

The Annals of probability, 2017-05, Vol.45 (3), p.2004-2055

2017

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Modeling and replicating statistical topology and evidence for CMB nonhomogeneity

Proceedings of the National Academy of Sciences - PNAS, 2017-11, Vol.114 (45), p.11878-11883

2017

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Some new random field tools for spatial analysis

Stochastic environmental research and risk assessment, 2008-10, Vol.22 (6), p.809-822

Adler, Robert J.

2008

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Functional central limit theorems for local statistics of spatial birth–death processes in the thermodynamic regime

The Annals of applied probability, 2023-10, Vol.33 (5), p.3958

2023

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MULTIPLE TESTING OF LOCAL MAXIMA FOR DETECTION OF PEAKS IN 1D

The Annals of statistics, 2011-12, Vol.39 (6), p.3290-3319

2011

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Modeling of persistent homology

Communications in statistics. Theory and methods, 2020-10, Vol.49 (20), p.4871-4888

2020

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Crackle: The Homology of Noise

Discrete & computational geometry, 2014-12, Vol.52 (4), p.680-704

2014

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On the spectrum of dense random geometric graphs

The Annals of applied probability, 2022-06, Vol.32 (3), p.1734

2022

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Validity of the Expected Euler Characteristic Heuristic

The Annals of probability, 2005-07, Vol.33 (4), p.1362-1396

2005

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Topological Complexity of Smooth Random Functions: École d'Été de Probabilités de Saint-Flour XXXIX-2009

2011., 2011

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Euler Characteristics for Gaussian Fields on Manifolds

The Annals of probability, 2003-04, Vol.31 (2), p.533-563

2003

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ON THE EXISTENCE OF PATHS BETWEEN POINTS IN HIGH LEVEL EXCURSION SETS OF GAUSSIAN RANDOM FIELDS

The Annals of probability, 2014-05, Vol.42 (3), p.1020-1053

2014

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CLIMBING DOWN GAUSSIAN PEAKS

The Annals of probability, 2017-03, Vol.45 (2), p.1160-1189

2017

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EFFICIENT MONTE CARLO FOR HIGH EXCURSIONS OF GAUSSIAN RANDOM FIELDS

The Annals of applied probability, 2012-06, Vol.22 (3), p.1167-1214

2012

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On the evolution of topology in dynamic clique complexes

Advances in applied probability, 2016-12, Vol.48 (4), p.989-1014

2016

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Random Fields and Geometry

1. Aufl., 2007

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Convergence of the reach for a sequence of Gaussian-embedded manifolds

Probability theory and related fields, 2018-08, Vol.171 (3-4), p.1045-1091

2018

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ROTATION AND SCALE SPACE RANDOM FIELDS AND THE GAUSSIAN KINEMATIC FORMULA

The Annals of statistics, 2012-12, Vol.40 (6), p.2910-2942

2012

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HIGH LEVEL EXCURSION SET GEOMETRY FOR NON-GAUSSIAN INFINITELY DIVISIBLE RANDOM FIELDS

The Annals of probability, 2013-01, Vol.41 (1), p.134-169

2013

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On Excursion Sets, Tube Formulas and Maxima of Random Fields

The Annals of applied probability, 2000-02, Vol.10 (1), p.1-74

Adler, Robert J.

2000

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Yiddish as a vernacular language: teaching a language in obsolescence

Language learning journal, 2011-07, Vol.39 (2), p.237-246

Adler Peckerar, Robert J.

2011

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Excursion sets of three classes of stable random fields

Advances in applied probability, 2010-06, Vol.42 (2), p.293-318

2010

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Random geometric complexes in the thermodynamic regime

Topology and geometry of Gaussian random fields I: on Betti numbers, Euler characteristic, and Minkowski functionals

ON THE TOPOLOGY OF RANDOM COMPLEXES BUILT OVER STATIONARY POINT PROCESSES

LIMIT THEOREMS FOR POINT PROCESSES UNDER GEOMETRIC CONSTRAINTS (AND TOPOLOGICAL CRACKLE)

Modeling and replicating statistical topology and evidence for CMB nonhomogeneity

Some new random field tools for spatial analysis

Functional central limit theorems for local statistics of spatial birth–death processes in the thermodynamic regime

MULTIPLE TESTING OF LOCAL MAXIMA FOR DETECTION OF PEAKS IN 1D

Modeling of persistent homology

Crackle: The Homology of Noise

On the spectrum of dense random geometric graphs

Validity of the Expected Euler Characteristic Heuristic

Topological Complexity of Smooth Random Functions: École d'Été de Probabilités de Saint-Flour XXXIX-2009

Euler Characteristics for Gaussian Fields on Manifolds

ON THE EXISTENCE OF PATHS BETWEEN POINTS IN HIGH LEVEL EXCURSION SETS OF GAUSSIAN RANDOM FIELDS

CLIMBING DOWN GAUSSIAN PEAKS

EFFICIENT MONTE CARLO FOR HIGH EXCURSIONS OF GAUSSIAN RANDOM FIELDS

On the evolution of topology in dynamic clique complexes

Random Fields and Geometry

Convergence of the reach for a sequence of Gaussian-embedded manifolds

ROTATION AND SCALE SPACE RANDOM FIELDS AND THE GAUSSIAN KINEMATIC FORMULA

HIGH LEVEL EXCURSION SET GEOMETRY FOR NON-GAUSSIAN INFINITELY DIVISIBLE RANDOM FIELDS

On Excursion Sets, Tube Formulas and Maxima of Random Fields

Yiddish as a vernacular language: teaching a language in obsolescence

Excursion sets of three classes of stable random fields

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