I. Chevyrev

发表

Signature Moments to Characterize Laws of Stochastic Processes

I. Chevyrev, H. Oberhauser, Harald Oberhauser, 2018, J. Mach. Learn. Res..

A rough path perspective on renormalization

I. Chevyrev, P. Friz, Rosa Preiß, 2017, Journal of Functional Analysis.

Edinburgh Research Explorer On the Number of Facets of Polytopes RepresentingComparative Probability Orders

A. Slinko, I. Chevyrev, D. Searles, 2013 .

Constructing supersingular elliptic curves with a given endomorphism ring

Steven D. Galbraith, Ilya Chevyrev, S. Galbraith, 2013, 1301.6875.

Deterministic homogenization under optimal moment assumptions for fast-slow systems. Part 1

I. Chevyrev, I. Melbourne, P. Friz, 2019, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques.

Norm inflation for a non-linear heat equation with Gaussian initial conditions

I. Chevyrev, 2022, 2205.14350.

Algebraic groups in non-commutative probability theory revisited

F. Patras, I. Chevyrev, K. Ebrahimi-Fard, 2022, 2208.02585.

Hopf and pre-Lie algebras in regularity structures

I. Chevyrev, 2022, 2206.14557.

Norm inflation for the cubic nonlinear heat equation above the scaling critical regularity

I. Chevyrev, Tadahiro Oh, Yuzhao Wang, 2022, 2205.14488.

Stochastic quantization of Yang–Mills

I. Chevyrev, 2022, Journal of Mathematical Physics.

Langevin dynamic for the 2D Yang–Mills measure

Martin Hairer, I. Chevyrev, A. Chandra, 2020, Publications mathématiques de l'IHÉS.

Edinburgh Research Explorer Examples of renormalized SDEs

I. Chevyrev, P. Friz, 2018 .

Random walks and Lévy processes as rough paths

I. Chevyrev, 2017, Probability Theory and Related Fields.

Edinburgh Research Explorer Persistence paths and signature features in topological data analysis

Vidit Nanda, I. Chevyrev, H. Oberhauser, 2018 .

A stochastic model of chemorepulsion with additive noise and nonlinear sensitivity

B. Hambly, I. Chevyrev, Avi Mayorcas, 2021, Stochastics and Partial Differential Equations: Analysis and Computations.

An isomorphism between branched and geometric rough paths

I. Chevyrev, H. Boedihardjo, 2017, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques.

Ju l 2 01 9 A rough path perspective on renormalization

I. Chevyrev, P. Friz, Rosa Preiß, 2019 .

Renormalising SPDEs in regularity structures

Martin Hairer, I. Chevyrev, A. Chandra, 2017, 1711.10239.

Examples of renormalized SDEs

I. Chevyrev, P. Friz, Y. Bruned, 2016, 1701.01158.

Feature Engineering with Regularity Structures pdf

Hendrik Weber, Ilya Chevyrev, Andris Gerasimovics, 2021, SSRN Electronic Journal.

Random walks and Lévy processes as rough paths

I. Chevyrev, 2015, 1510.09066.

PR ] 2 1 O ct 2 02 2 Gauge field marginal of an Abelian Higgs model October 24 , 2022

I. Chevyrev, A. Chandra, 2022 .

Multiscale Systems, Homogenization, and Rough Paths

Peter K. Friz, Ian Melbourne, Ilya Chevyrev, 2016, Probability and Analysis in Interacting Physical Systems.

A Primer on the Signature Method in Machine Learning pdf

Andrey Kormilitzin, Ilya Chevyrev, I. Chevyrev, 2016, ArXiv.

On the Number of Facets of Polytopes Representing Comparative Probability Orders

Arkadii M. Slinko, Dominic Searles, Ilya Chevyrev, 2011, Order.

On the Number of Facets of Polytopes Representing Comparative Probability Orders

A. Slinko, I. Chevyrev, D. Searles, 2012, Order.

Canonical RDEs and general semimartingales as rough paths

I. Chevyrev, P. Friz, 2017, The Annals of Probability.

Characteristic functions of path signatures and applications

I. Chevyrev, 2015 .

Persistence Paths and Signature Features in Topological Data Analysis

Harald Oberhauser, Vidit Nanda, Ilya Chevyrev, 2018, IEEE Transactions on Pattern Analysis and Machine Intelligence.

Characteristic functions of measures on geometric rough paths

Terry Lyons, Ilya Chevyrev, Terry Lyons, 2013, 1307.3580.

Superdiffusive limits for deterministic fast–slow dynamical systems

I. Chevyrev, I. Melbourne, P. Friz, 2019, Probability Theory and Related Fields.

Stochastic quantisation of Yang-Mills-Higgs in 3D

Martin Hairer, Hao Shen, Ilya Chevyrev, 2022, 2201.03487.

Invariant measure and universality of the 2D Yang-Mills Langevin dynamic

I. Chevyrev, Hao Shen, 2023, 2302.12160.

Langevin dynamic for the 2D Yang–Mills measure

Martin Hairer, I. Chevyrev, A. Chandra, 2020, Publications mathématiques de l'IHÉS.

Yang–Mills Measure on the Two-Dimensional Torus as a Random Distribution

I. Chevyrev, 2018, Communications in Mathematical Physics.