Most papers are available on the physics eprint archive
Some of them are reviewed on the MathSciNet website

Preprints

• The machine learning contributions behind the 2024 Physics Nobel Prize
  Summary | Talk | ICTS News

Published paper

2023

• J. du Buisson, T. D. P. Mnyulwa, H. Touchette, Large deviations of the stochastic area for linear diffusions, Phys. Rev. E 108, 044136, 2023. arxiv2307.06245 | published version
• J. du Buisson, H. Touchette, Dynamical large deviations of linear diffusions, Phys. Rev. E 107, 054111, 2023. arxiv:2212.12022 | published version
• F. Coghi, H. Touchette, Adaptive power method for estimating large deviations in Markov chains, Phys. Rev. E 107, 034137, 2023. arxiv:2211.00060 | published version (selected as Editor's suggestion)

2022

• D. Nickelsen, H. Touchette, Noise correction of large deviations with anomalous scaling, Phys. Rev E 105, 064102, 2022. arxiv:2202.07348 | published version
• J. Yan, H. Touchette, G. M. Rotskoff, Learning nonequilibrium control forces to characterize dynamical phase transitions, Phys. Rev. E 105, 024115, 2022. arxiv:2107.03348 | published version

2021

• F. Coghi, R. Chetrite, H. Touchette, Role of current fluctuations in nonreversible samplers, Phys. Rev. E 103, 062142, 2021. arxiv:2103.14150 | published version
• E. Mallmin, J. du Buisson, H. Touchette, Large deviations of currents in diffusions with reflective boundaries, J. Phys. A: Math. Theor. 54, 295001, 2021. arxiv:2102.04846 | published version

2020

• J. du Buisson, H. Touchette, Dynamical large deviations of reflected diffusions, Phys. Rev. E 102, 012148, 2020. arxiv:2005.01284 | published version
• A. Guyader, H. Touchette, Efficient large deviation estimation based on importance sampling, J. Stat. Phys. 181, 551, 2020. arxiv:2003.05274 | published version

2019

• F. den Hollander, S. Majumdar, J. M. Meylahn, H. Touchette, Properties of additive functionals of Brownian motion with resetting, J. Phys. A: Math. Theor. 52, 175001, 2019. arxiv:1801.09909 | published version
• F. Coghi, J. Morand, H. Touchette, Large deviations of random walks on random graphs, Phys. Rev. E 99, 022137, 2019. arxiv:1808.00700 | published version
• R. Leonarduzzi, P. Abry, H. Wendt, S. Jaffard, H. Touchette, A generalized multifractal formalism for the estimation of nonconcave multifractal spectral, IEEE Trans. Sign. Proc. 67, 110, 2019. arxiv:1811.03463 | published version

2018

• P. Tsobgni Nyawo and H. Touchette, Dynamical phase transition in drifted Brownian motion, Phys. Rev. E 98, 052103, 2018. arxiv:1808.06986 | published version
• D. Nickelsen, H. Touchette, Anomalous scaling of dynamical large deviations, Phys. Rev. Lett. 121, 090602, 2018. arxiv:1803.05708 | published version | listed in Nature Index 2019
• D. C. Rose, H. Touchette, I. Lesanovsky, J. P. Garrahan, Spectral properties of simple classical and quantum reset processes, Phys. Rev. E 98, 022129, 2018. arxiv:1806.01298 | published version
  
• G. Ferré, H. Touchette, Adaptive sampling of large deviations, J. Stat. Phys. 172, 1525, 2018. arxiv:1803.11117 | HAL archive | published version | stupid erratum courtesy of Springer
• H. Touchette, Asymptotic equivalence of probability measures and stochastic processes, J. Stat. Phys. 170, 962, 2018. arxiv:1708.02890 | published version
• C. Nardini, H. Touchette, Process interpretation of current entropic bounds, Eur. Phys. J. B 91, 16, 2018. arxiv:1710.09790 | HAL archive | published version
• H. Touchette, Introduction to dynamical large deviations of Markov processes. Physica A 504, 5, 2018. arxiv:1705.06492 | published version
  Lecture notes for the 2017 FPSP Summer School, Brunico, Italy

2017

• R. J. Harris, H. Touchette, Phase transitions in large deviations of reset processes, J. Phys. A: Math. Theor. 50, 10LT01, 2017. arxiv:1610.08842 | published version
  Selected by JPA in their 2017 Highlights

2016

• P. Tsobgni Nyawo, H. Touchette, A minimal model of dynamical phase transition, Europhys. Lett. 116, 50009, 2016. arxiv:1611.07707 | published version
• P. Tsobgni Nyawo, H. Touchette, Current large deviations for driven periodic diffusions, Phys. Rev. E 94, 032101, 2016. arxiv:1606.02602 | published version
• R. F. Leonarduzzi, H. Touchette, H. Wendt, P. Abry, S. Jaffard, Generalized Legendre transform multifractal formalism for nonconcave spectrum estimation, in Proc. 2016 IEEE Statistical Signal Processing Workshop, 2016. HAL archive | published version
  
• F. Angeletti, H. Touchette, Diffusions conditioned on occupation measures, J. Math. Phys. 57, 023303, 2016. arxiv:1510.04893 | published version

2015

• J. M. Meylahn, S. Sabhapandit, H. Touchette, Large deviations for Markov processes with resetting, Phys. Rev. E 92, 062148, 2015. arxiv:1510.02431 | published version
  
• R. Chetrite, H. Touchette, Variational and optimal control representations of the conditioned and driven processes, J. Stat. Mech. P12001, 2015. arxiv:1506.05291 | HAL archive | published version
  

• C. M. Rohwer, F. Angeletti, H. Touchette, Convergence of large deviation estimators, Phys. Rev. E 92, 052104, 2015. arxiv:1409.8531 | published version
  
• H. Touchette, General equivalence and nonequivalence of ensembles: Thermodynamic, macrostate, and measure levels, J. Stat. Phys. 159, 987, 2015. arxiv:1403.6608 | published version
• R. Chetrite, H. Touchette, Nonequilibrium Markov processes conditioned on large deviations, Ann. Henri Poincaré 16, 2005, 2015. arxiv:1405.5157 | HAL archive | published version (highest cited paper in that journal)

2014

• R. Villavicencio-Sanchez, R. J. Harris, H. Touchette, Fluctuation relations for anisotropic systems, Europhys. Lett. 105, 30009, 2014. arxiv:1308.2595 | published version
  
• F. Angeletti, H. Touchette, E. Bertin, P. Abry, Large deviations for correlated random variables described by a matrix product ansatz, J. Stat. Mech. P02003, 2014. arxiv:1310.6952 | published version

2013

• J. López Peña, H. Touchette, A network theory analysis of football strategies, in C. Clanet (ed), Sports Physics: Proc. Euromech Physics of Sports Conf., Éditions de l'École Polytechnique, Palaiseau, 2013.
  arxiv:1206.6904 | published version | football graphs website
  Featured in MIT Technology Review, Phys.org, Il Sole 24 Ore and Bloomberg Business Week
  Also covered on the Kickdex blog
• Y. Chen, A. Baule, H. Touchette, W. Just, Weak-noise limit of a piecewise smooth stochastic differential equation, Phys. Rev. E 88, 052103, 2013. arxiv:1307.5227 | published version
  
• R. Chetrite, H. Touchette, Nonequilibrium microcanonical and canonical ensembles and their equivalence, Phys. Rev. Lett. 111, 120601, 2013. arxiv:1306.4563 | HAL archive | published version
  
• G. Gradenigo, A. Sarracino, A. Puglisi, H. Touchette, Fluctuation relations without uniform large deviations, J. Phys. A: Math. Theor. 46, 335002, 2013. arxiv:1303.2851 | published version
• A. Gnoli, A. Puglisi, H. Touchette, Granular Brownian motion with dry friction, Europhys. Lett. 102, 14002, 2013. arxiv:1303.5241 | published version
  
• H. Touchette, R. J. Harris, Large deviation approach to nonequilibrium systems, in R. Klages, W. Just, C. Jarzynski (eds), Nonequilibrium Statistical Physics of Small Systems: Fluctuation Relations and Beyond, Wiley-VCH, Weinheim, 2013. arxiv:1110.5216 | Catalogue information | Amazon
• H. Touchette, Comment on "Towards a large deviation theory for strongly correlated systems", Phys. Lett A 377, 436, 2013. arxiv:1209.2611 | published version

2012

• H. Touchette, T. Prellberg, W. Just, Exact power spectra of Brownian motion with solid friction, J. Phys. A: Math. Theor. 45, 395002, 2012. arxiv:1205.4115 | published version
• R. Villavicencio-Sanchez, R. J. Harris, H. Touchette, Current loops and fluctuations in the zero-range process on a diamond lattice, J. Stat. Mech. P07007, 2012. arxiv: 1202.3989 | published version
• F. Bouchet, H. Touchette, Non-classical large deviations for a noisy system with non-isolated attractors, J. Stat. Mech. P05028, 2012. arxiv:1204.6269 | published version

2011

• H. Touchette, Ensemble equivalence for general many-body systems, Europhys. Lett. 96, 50010, 2011. arxiv:1106.2979 | published version
• H. Touchette, A basic introduction to large deviations: Theory, applications, simulations, in R. Leidl and A. K. Hartmann (eds), Modern Computational Science 11: Lecture Notes from the 3rd International Oldenburg Summer School, BIS-Verlag der Carl von Ossietzky Universitat Oldenburg, 2011. arxiv:1106.4146 | errata at the end of the arxiv version | summer school website
  
• A. Baule, H. Touchette, E. G. D. Cohen, Stick-slip motion of solids with dry friction subject to random vibrations and an external field, Nonlinearity 24, 351, 2011. arxiv:1008.3531 | published version
  Featured article of Nonlinearity

2010

• H. Touchette, E. Van der Straeten, W. Just, Brownian motion with dry friction: Fokker-Planck approach, J. Phys. A: Math. Theor. 43, 445002, 2010. arxiv:1008.3331 | published version
• H. Touchette, Methods for calculating nonconcave entropies, J. Stat. Mech. P05008, 2010. arxiv:1003:0382 | published version
  Special JSTAT issue on Long-range Interacting Systems
• H. Touchette, R. J. Harris, J. Tailleur, First-order phase transitions from poles in asymptotic representations of partition functions, Phys. Rev. E 81, 030101(R), 2010. arxiv:0912.3679 | published version
• A. Baule, E. G. D. Cohen, H. Touchette, Path integral approach to random motion with nonlinear friction, J. Phys. A: Math. Theor. 43, 025003, 2010. arxiv:0910.4663 | published version

2009

• R. J. Harris, H. Touchette, Current fluctuations in stochastic systems with long-range memory, J. Phys. A: Math. Theor. 42, 342001, 2009. arxiv:0904.1585 | published version
• H. Touchette, The large deviation approach to statistical mechanics, Phys. Rep. 478, 1-69, 2009. arxiv:0804.0327 | published version
  Listed in the top 25 physics articles on ScienceDirect for July-September 2009
  Listed in the top 25 articles published in Physics Report for 2010
• H. Touchette, E. G. D. Cohen, Anomalous fluctuation properties, Phys. Rev. E 80, 011114, 2009. arxiv:0903.3869 | published version
• F. J. Cao, M. Feito, H. Touchette, Information and flux in a feedback controlled Brownian ratchet, Physica A 388, 113, 2009. cond-mat/0703492 | published version

2008

• H. Erzgräber, F. Strozzi, J.-M. Zaldívar, H. Touchette, E. Gutiérrez, D. K. Arrowsmith, Time series analysis and long range correlations of Nordic spot electricity market data, Physica A 387, 6567, 2008. published version
• M. Costeniuc, R.S. Ellis, H. Touchette, B. Turkington, Global optimization, the Gaussian ensemble, and universal ensemble equivalence, in M. Pinsky and B. Birnir (eds), Geometry, Probability, and Integrable Systems, Cambridge University Press, 2008. MSRI | Catalogue information | Amazon | cond-mat/0605658
• H. Touchette, Simple spin models with non-concave entropies, Am. J. Phys. 76, 26, 2008. cond-mat/0504020 (long version) | cond-mat/0504020 (short version) | published version

2007

• H. Touchette, E. G. D. Cohen, Fluctuation relation for a Lévy particle, Phys. Rev. E. 76, 020101(R), 2007. cond-mat/0703254 | published version
• A. Campa, S. Ruffo, H. Touchette, Negative magnetic susceptibility and nonequivalent ensembles for the mean-field φ⁴ spin model, Physica A 385, 233, 2007. cond-mat/0702004 | published version

2006

• H. Touchette, C. Beck, Nonconcave entropies in multifractals and the thermodynamic formalism, J. Stat. Phys. 125, 455, 2006. cond-mat/0507379 | published version
• M. Costeniuc, R.S. Ellis, H. Touchette, Nonconcave entropies from generalized canonical ensembles, Phys. Rev. E 74, 010105(R), 2006. cond-mat/0605213 | published version
• H. Touchete, M. Costeniuc, R.S. Ellis, B. Turkington, Metastability within the generalized canonical ensemble, Physica A 365, 132, 2006. cond-mat/0509802 | published version
• M. Costeniuc, R.S. Ellis, H. Touchette, B. Turkington, Generalized canonical ensembles and ensemble equivalence, Phys. Rev. E 73, 026105, 2006. cond-mat/0505218 | published version
• H. Touchette, Comment on "First-order phase transition: equivalence between bimodalities and the Yang-Lee theorem", Physica A 359, 375, 2006. cond-mat/0503029 | published version

2005

• H. Touchette, R.S. Ellis, Nonequivalent ensembles and metastability, in Complexity, Metastability and Nonextensivity, C. Beck, G. Benedek, A. Rapisarda, C. Tsallis (eds), World Scientific, 2005. Catalogue information | Amazon | cond-mat/0501390
• M. Costeniuc, R.S. Ellis, H. Touchette, B. Turkington, The generalized canonical ensemble and its universal equivalence with the microcanonical ensemble, J. Stat. Phys. 119, 1283, 2005. cond-mat/0408681 | published version
• R.S. Ellis, P. Otto and H. Touchette, Analysis of phase transitions in the mean-field Blume-Emery-Griffiths model, Ann. Appl. Prob. 15, 2203, 2005. cond-mat/0409047 | published version
• M. Costeniuc, R.S. Ellis, H. Touchette, Complete analysis of phase transitions and ensemble equivalence for the Curie-Weiss-Potts model, J. Math. Phys. 46, 063301, 2005. cond-mat/0410744 | published version
• H. Touchette and C. Beck, Asymptotics of superstatistics, Phys. Rev. E 71, 016131, 2005. cond-mat/0408091 | published version

2004

• H. Touchette, R.S. Ellis, B. Turkington, An introduction to the thermodynamic and macrostate levels of nonequivalent ensembles, Physica A 340, 138, 2004. cond-mat/0404655 | published version
• R.S. Ellis, H. Touchette, B. Turkington, Thermodynamic versus statistical nonequivalence of ensembles for the mean-field Blume-Emery-Griffiths model, Physica A 335, 518, 2004. cond-mat/0303007 | published version
• H. Touchette, S. Lloyd, Information-theoretic approach to the study of control systems, Physica A 331, 140, 2004. physics/0104007 | published version
• H. Touchette, Temperature fluctuations and mixtures of equilibrium states in the canonical ensemble, in M. Gell-Mann, C. Tsallis (eds), Nonextensive Entropy - Interdisciplinary Applications, Oxford University Press, 2004. Catalogue information | Amazon | cond-mat/0212301

1998-2003

• C. Hauptmann, H. Touchette, M.C. Mackey, Information capacity and pattern formation in a tent map network featuring statistical periodicity, Phys. Rev. E 67, 026217, 2003. published version
• H. Touchette, When is a quantity additive, and when is it extensive?, Physica A 305, 84, 2002. cond-mat/0201134 | published version
• H. Touchette, S. Lloyd, Information-theoretic limits of control, Phys. Rev. Lett. 84, 1156, 2000. chao-dyn/9905039 | published version
  Work featured in the AIP Physics News Update, the MIT News and the MIT Undergraduate Research Journal (MURJ)
• S. Allen, H. Touchette, S. Moukouri, Y.M. Vilk, A.-M. S. Tremblay, Role of symmetry and dimension on pseudogap phenomena, Phys. Rev. Lett. 83, 4128, 1999. cond-mat/9904436 | published version
• H. Nélisse, C. Bourbonnais, H. Touchette, Y.M. Vilk, A.-M. S. Tremblay, Spin susceptibility of interacting electrons in one dimension: Luttinger liquid and lattice effects, Eur. Phys. J. B 12, 351, 1999. cond-mat/9903046 | published version
• Y.M. Vilk, S. Allen, H. Touchette, S. Moukouri, L. Chen, A.-M.S. Tremblay, Attractive Hubbard model and single-particle pseudogap due to classical pairing fluctuations in two dimensions, Phys. Chem. Solids 59, 1873, 1998. cond-mat/9710013 | published version

In preparation

• H. Touchette, Large deviations: From physics to mathematics and back.
• R. Chetrite, H. Touchette, Transformations and Symmetries of Markov Processes. Book.
• H. Touchette, Large Deviations in Statistical Physics. Book.
  

Unpublished

• H. Touchette, Translation of "Sur un nouveau théorème limite dans la théorie des probabilités" (On a new limit theorem in probability theory) by H. Cramér, 1938. arxiv:1802.05988 | pdf with links to endnotes
• H. Touchette, David’s Life as an Architect, in Non-Trivial Cycles: A Festschrift for David Poulin (In memory of David Poulin), 2020.
• D. Poulin, H. Touchette, Comment on "Some non-conventional ideas about algorithmic complexity". cs.OH/0503034
• V. Poulin, H. Touchette, On a generalization of the logistic map. nlin.CD/0003017
• H. Touchette, Comment on "Entropy Generation in Computation and the Second law of Thermodynamics". chao-dyn/9902017

Theses

• Information-theoretic aspects in the control of dynamical systems, M.Sc. Thesis, Department of Mechanical Engineering, Massachusetts Institute of Technology, February 2000. letter paper
• Equivalence and Nonequivalence of the Microcanonical and Canonical Ensembles: A Large Deviations Study, Ph.D. Thesis, Department of Physics, McGill University, December 2003. letter paper | letter paper 2 pages in 1 | a4 paper | a4 paper 2 pages in 1

Notes on large deviations, stochastic processes, etc.

Some are not available freely - contact me if you want a copy.

• Summary of large deviations theory. pdf
• Large deviation principle. pdf
• Markov processes and diffusions. pdf
• Stochastic calculus. pdf
• Feynman-Kac formula. pdf
• Cameron-Martin-Girsanov formula. pdf
• Large deviation theory of Markov processes. pdf
• Donsker-Varadhan theory. pdf
• Freidlin-Wentzell-Graham theory. pdf
• Density-current joint (level 2.5) LDP. pdf
• Level 3 large deviations: Pair empirical distribution, k-tuples and empirical process. pdf
• McKean-Vlasov theory and hydrodynamic fluctuation theory. pdf
• Large deviation sampling. pdf
• Sources on quantum large deviations. pdf
• Large deviations in noise-perturbed dynamical systems. pdf
• Malliavin calculus. pdf
• Stochastic approximations and optimization. pdf

Other documents

• Mathematica commands summary (cheat sheet). pdf
• Common formulae of information theory (cheat sheet). pdf
• Equivalence of statistical-mechanical ensembles: A collection of quotes and notes. pdf
• Legendre-Fenchel transforms in a nutshell. pdf
• Elements of convex analysis. pdf
• Feuille d'épices. pdf [French]

Book, articlereviews, others

• 'Microcanonical Thermodynamics: Phase Transitions in "Small" Systems' by D. H. E. Gross. Book review for MathSciNet. published version
• H. Touchette, Answer to Problem 191.8, Infinite exponentiation of M500-191, M500 Magazine, May 2008. pdf
• MathSciNet reviews