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1

Convergence in total variation on Wiener chaos

Ivan Nourdin, Guillaume Poly

Journal:

Stochastic Processes and their Applications

Year:

2013

Language:

english

File:

PDF, 301 KB

english, 2013

2

Stein’s method, logarithmic Sobolev and transport inequalities

Ledoux, Michel, Nourdin, Ivan, Peccati, Giovanni

Journal:

Geometric And Functional Analysis

Year:

2015

Language:

english

File:

PDF, 562 KB

english, 2015

3

Weak symmetric integrals with respect to the fractional Brownian motion

Binotto, Giulia, Nourdin, Ivan, Nualart, David

Journal:

The Annals of Probability

Year:

2018

Language:

english

File:

PDF, 227 KB

english, 2018

4

Schémas d'approximation associés à une équation différentielle dirigée par une fonction höldérienne ; cas du mouvement brownien fractionnaire

Journal:

Comptes Rendus Mathematique

Year:

2005

Language:

french

File:

PDF, 90 KB

french, 2005

5

Ito's- and Tanaka's-type formulae for the stochastic heat equation: The linear case

Mihai Gradinaru, Ivan Nourdin, Samy Tindel

Journal:

Journal of Functional Analysis

Year:

2005

Language:

english

File:

PDF, 266 KB

english, 2005

6

Almost sure central limit theorems on the Wiener space

Bernard Bercu, Ivan Nourdin, Murad S. Taqqu

Journal:

Stochastic Processes and their Applications

Year:

2010

Language:

english

File:

PDF, 423 KB

english, 2010

7

Quantitative Breuer–Major theorems

Ivan Nourdin, Giovanni Peccati, Mark Podolskij

Journal:

Stochastic Processes and their Applications

Year:

2011

Language:

english

File:

PDF, 296 KB

english, 2011

8

Exact Rate of Convergence of Some Approximation Schemes Associated to SDEs Driven by a

Andreas Neuenkirch, Ivan Nourdin

Journal:

Journal of Theoretical Probability

Year:

2007

Language:

english

File:

PDF, 549 KB

english, 2007

9

Normal Approximations with Malliavin Calculus (From Stein's Method to Universality) ||

Nourdin, Ivan, Peccati, Giovanni

Year:

2012

Language:

english

File:

PDF, 192 KB

english, 2012

10

Central and Non-central Limit Theorems in a Free Probability Setting

Ivan Nourdin, Murad S. Taqqu

Journal:

Journal of Theoretical Probability

Year:

2014

Language:

english

File:

PDF, 926 KB

english, 2014

11

Entropy and the fourth moment phenomenon

Nourdin, Ivan, Peccati, Giovanni, Swan, Yvik

Journal:

Journal of Functional Analysis

Year:

2014

Language:

english

File:

PDF, 447 KB

english, 2014

12

The optimal fourth moment theorem

Nourdin, Ivan, Peccati, Giovanni

Journal:

Proceedings of the American Mathematical Society

Year:

2015

Language:

english

File:

PDF, 238 KB

english, 2015

13

Multivariate normal approximation using Stein’s method and Malliavin calculus

Nourdin, Ivan, Peccati, Giovanni, Réveillac, Anthony

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2010

Language:

english

File:

PDF, 228 KB

english, 2010

14

Fisher information and the fourth moment theorem

Nourdin, Ivan, Nualart, David

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2016

File:

PDF, 237 KB

2016

15

Normal Approximations with Malliavin Calculus (From Stein's Method to Universality) || Distances between probability measures

Nourdin, Ivan, Peccati, Giovanni

Year:

2012

Language:

english

File:

PDF, 110 KB

english, 2012

16

A Stein deficit for the logarithmic Sobolev inequality

Michel Ledoux,Ivan Nourdin,Giovanni Peccati

Journal:

Science China Mathematics

Year:

2017

Language:

english

File:

PDF, 269 KB

english, 2017

17

Density Formula and Concentration Inequalities with Malliavin Calculus

Nourdin, Ivan, Viens, Frederi

Journal:

Electronic Journal of Probability

Year:

2009

Language:

english

File:

PDF, 247 KB

english, 2009

18

Almost sure limit theorems on Wiener chaos: the non-central case

Azmoodeh, Ehsan, Nourdin, Ivan

Journal:

Electronic Communications in Probability

Year:

2019

Language:

english

File:

PDF, 276 KB

english, 2019

19

Restricted hypercontractivity on the Poisson space

Nourdin, Ivan, Peccati, Giovanni, Yang, Xiaochuan

Journal:

Proceedings of the American Mathematical Society

Year:

2020

File:

PDF, 263 KB

2020

20

A change of variable formula for the 2D fractional Brownian motion of Hurst index bigger or equal to 1/4

Journal:

Journal of Functional Analysis

Year:

2009

Language:

english

File:

PDF, 199 KB

english, 2009

21

Second order Poincaré inequalities and CLTs on Wiener space

Ivan Nourdin, Giovanni Peccati, Gesine Reinert

Journal:

Journal of Functional Analysis

Year:

2009

Language:

english

File:

PDF, 194 KB

english, 2009

22

Cumulants on the Wiener space

Ivan Nourdin, Giovanni Peccati

Journal:

Journal of Functional Analysis

Year:

2010

Language:

english

File:

PDF, 205 KB

english, 2010

23

On the Gaussian approximation of vector-valued multiple integrals

Salim Noreddine, Ivan Nourdin

Journal:

Journal of Multivariate Analysis

Year:

2011

Language:

english

File:

PDF, 272 KB

english, 2011

24

On the absolute continuity of one-dimensional SDEs driven by a fractional Brownian motion

Ivan Nourdin, Thomas Simon

Journal:

Statistics & Probability Letters

Year:

2006

Language:

english

File:

PDF, 184 KB

english, 2006

25

Stein’s method on Wiener chaos

Ivan Nourdin, Giovanni Peccati

Journal:

Probability Theory and Related Fields

Year:

2009

Language:

english

File:

PDF, 492 KB

english, 2009

26

Central Limit Theorems for Multiple Skorokhod Integrals

Ivan Nourdin, David Nualart

Journal:

Journal of Theoretical Probability

Year:

2010

Language:

english

File:

PDF, 615 KB

english, 2010

27

m-order integrals and generalized Itô's formula; the case of a fractional Brownian motion with any Hurst index

Mihai Gradinaru, Ivan Nourdin, Francesco Russo, Pierre Vallois

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2005

Language:

english

File:

PDF, 248 KB

english, 2005

28

Fourth Moment Theorem andq-Brownian Chaos

Deya, AurÃ©lien, Noreddine, Salim, Nourdin, Ivan

Journal:

Communications in Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 397 KB

english, 2013

29

Comparison inequalities on Wiener space

Nourdin, Ivan, Peccati, Giovanni, Viens, Frederi G.

Journal:

Stochastic Processes and their Applications

Year:

2014

Language:

english

File:

PDF, 260 KB

english, 2014

30

Some linear fractional stochastic equations

Nourdin, Ivan, Tudor, Ciprian A.

Journal:

Stochastics An International Journal of Probability and Stochastic Processes

Year:

2006

Language:

english

File:

PDF, 204 KB

english, 2006

31

Differentiating σ-fields for Gaussian and shifted Gaussian processes

Darses, Sébastien, Nourdin, Ivan, Peccati, Giovanni

Journal:

Stochastics An International Journal of Probability and Stochastic Processes

Year:

2009

Language:

english

File:

PDF, 234 KB

english, 2009

32

Stochastic derivatives for fractional diffusions

Darses, Sébastien, Nourdin, Ivan

Journal:

The Annals of Probability

Year:

2007

Language:

english

File:

PDF, 233 KB

english, 2007

33

OPTIMAL CONTROL FOR ROUGH DIFFERENTIAL EQUATIONS

MAZLIAK, LAURENT, NOURDIN, IVAN

Journal:

Stochastics and Dynamics

Year:

2008

Language:

english

File:

PDF, 182 KB

english, 2008

34

Noncentral Convergence of Multiple Integrals

Ivan Nourdin and Giovanni Peccati

Journal:

The Annals of Probability

Year:

2009

Language:

english

File:

PDF, 997 KB

english, 2009

35

Classical and Free Fourth Moment Theorems: Universality and Thresholds

Nourdin, Ivan, Peccati, Giovanni, Poly, Guillaume, Simone, Rosaria

Journal:

Journal of Theoretical Probability

Year:

2016

Language:

english

File:

PDF, 329 KB

english, 2016

36

An invariance principle under the total variation distance

Nourdin, Ivan, Poly, Guillaume

Journal:

Stochastic Processes and their Applications

Year:

2015

Language:

english

File:

PDF, 255 KB

english, 2015

37

[IEEE 2014 IEEE International Symposium on Information Theory (ISIT) - Honolulu, HI, USA (2014.6.29-2014.7.4)] 2014 IEEE International Symposium on Information Theory - Integration by parts and representation of information functionals

Nourdin, Ivan, Peccati, Giovanni, Swan, Yvik

Year:

2014

Language:

english

File:

PDF, 434 KB

english, 2014

38

Selected Aspects of Fractional Brownian Motion ||

Year:

2012

Language:

english

File:

PDF, 3.05 MB

english, 2012

39

ASYMPTOTIC BEHAVIOR OF WEIGHTED QUADRATIC VARIATIONS OF FRACTIONAL BROWNIAN MOTION: THE CRITICAL CASEH= 1/4

Ivan Nourdin and Anthony Réveillac

Journal:

The Annals of Probability

Year:

2009

Language:

english

File:

PDF, 1.46 MB

english, 2009

40

Stochastic Derivatives for Fractional Diffusions

Sébastien Darses and Ivan Nourdin

Journal:

The Annals of Probability

Year:

2007

Language:

english

File:

PDF, 1.43 MB

english, 2007

41

Asymptotic Behavior of Weighted Quadratic and Cubic Variations of Fractional Brownian Motion

Journal:

The Annals of Probability

Year:

2008

Language:

english

File:

PDF, 927 KB

english, 2008

42

On the Absolute Continuity of Lévy Processes with Drift

Ivan Nourdin and Thomas Simon

Journal:

The Annals of Probability

Year:

2006

Language:

english

File:

PDF, 1.50 MB

english, 2006

43

Asymptotic expansions at any time for scalar fractional SDEs with Hurst index H > 1/2

SÉBASTIEN DARSES and IVAN NOURDIN

Journal:

Year:

2008

Language:

english

File:

PDF, 943 KB

english, 2008

44

INVARIANCE PRINCIPLES FOR HOMOGENEOUS SUMS: UNIVERSALITY OF GAUSSIAN WIENER CHAOS

Ivan Nourdin, Giovanni Peccati and Gesine Reinert

Journal:

The Annals of Probability

Year:

2010

Language:

english

File:

PDF, 2.60 MB

english, 2010

45

WIGNER CHAOS AND THE FOURTH MOMENT

Todd Kemp, Ivan Nourdin, Giovanni Peccati and Roland Speicher

Journal:

The Annals of Probability

Year:

2012

Language:

english

File:

PDF, 4.04 MB

english, 2012

46

Squared chaotic random variables: New moment inequalities with applications

Malicet, Dominique, Nourdin, Ivan, Peccati, Giovanni, Poly, Guillaume

Journal:

Journal of Functional Analysis

Year:

2016

Language:

english

File:

PDF, 444 KB

english, 2016

47

Multivariate central limit theorems for averages of fractional Volterra processes and applications to parameter estimation

Nourdin, Ivan, Nualart, David, Zintout, Rola

Journal:

Statistical Inference for Stochastic Processes

Year:

2016

Language:

english

File:

PDF, 492 KB

english, 2016

48

An Itô-type formula for the fractional Brownian motion in Brownian time

Nourdin, Ivan, Zeineddine, Raghid

Journal:

Electronic Journal of Probability

Year:

2014

Language:

english

File:

PDF, 388 KB

english, 2014

49

Quantitative stable limit theorems on the Wiener space

Nourdin, Ivan, Nualart, David, Peccati, Giovanni

Journal:

The Annals of Probability

Year:

2016

Language:

english

File:

PDF, 370 KB

english, 2016

50

Invariance principles for homogeneous sums of free random variables

Deya, Aurélien, Nourdin, Ivan

Journal:

Year:

2014

Language:

english

File:

PDF, 193 KB

english, 2014

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