Publications

The manuscript of my habilitation thesis can be found here.

You can find a list of my papers on the arXiv, where you will also find my most recent preprints:

  • Exact extremal statistics in the classical 1d Coulomb gas, A. Dhar, A. Kundu, S. N. Majumdar, S. Sabhapandit, G. Schehr, accepted for publication in Physical Review Letterspreprint logo_new.small
  • Survival probability of random walks and Lévy walks on a semi-infinite line, S. N. Majumdar, Ph. Mounaix, G. Schehr, preprint
  • Kinetic energy of a trapped Fermi gas at finite temperature, J. Grela, S. N. Majumdar, G. Schehr, preprint
  • Non-equilibrium fluctuations of a semi-flexible filament driven by active cross-linkers, I. Weber, C. Alpert-Rolland, G. Schehr, L. Santen, preprint

Below you can find a list of my publications (in peer reviewed journals).


2003

  • Specific heat of classical disordered elastic systems G. Schehr, T. Giamarchi, P. Le Doussal Phys. Rev. Lett. 91, 117002 (2003) PDF
  • Exact Multi-local Renormalization Group: applications to the random Sine-Gordon model statics and dynamics G. Schehr, P. Le Doussal Phys. Rev. E 68, 046101 (2003) PDF

2004

  • Specific heat of the quantum Bragg glass G. Schehr, T. Giamarchi, P. Le Doussal Europhys. Lett. 66(4), 538 (2004) PDF
  • Aging in the glass phase of a 2D random periodic elastic system G. Schehr, P. Le Doussal Phys. Rev. Lett. 93, 217201 (2004) PDF

2005

  • Non equilibrium dynamics below the super-roughening transition G. Schehr, H. Rieger Phys. Rev. B 71, 184202 (2005) PDF
  • Universal aging properties at a disordered critical point G. Schehr, R. Paul Phys. Rev. E 72, 016105 (2005) PDF
  • Functional Renormalization for pinned elastic systems away from their steady state G. Schehr, P. Le Doussal Europhys. Lett. 71(2), 1 (2005) PDF
  • Non-Markovian persistence in the diluted Ising model at criticality R. Paul, G. Schehr, Europhys. Lett. 72(5), 719 (2005) PDF
  • Specific Heat of Quantum Elastic Systems Pinned by Disorder G. Schehr, T. Giamarchi, P. Le Doussal Eur. Phys. J. B 44, 521 (2005) PDF
  • Low Temperature Specific Heat of some Quantum Mean Field glassy phases G. Schehr Phys. Rev. B 71, 184204 (2005) PDF

2006

  • Universal Asymptotic Statistics of Maximum Relative Height in One-Dimensional Solid-on-Solid Models G. Schehr, S. N. Majumdar Phys. Rev. E 73, 056103 (2006) PDF
  • Strong Randomness Fixed Point in the Dissipative Random Transverse Field Ising Model G. Schehr, H. Rieger Phys. Rev. Lett. 96, 227201 (2006) PDF

2007

  • Super-Aging in two-dimensional random ferromagnets R. Paul, G. Schehr, H. Rieger Phys. Rev. E 75, 030104(R) (2007) PDF
  • Dynamic crossover in the global persistence at criticality R. Paul, A. Gambassi, G. Schehr, Europhys. Lett. 78 10007, (2007) PDF
  • Statistics of the Number of Zero Crossings: from Random Polynomials to Diffusion Equation G. Schehr, S. N. Majumdar, Phys. Rev. Lett. 99, 060603 (2007) PDF
  • Disordered free fermions and the Cardy Ostlund fixed line at low temperature P. Le Doussal, G. Schehr Phys. Rev. B 75, 184401 (2007) PDF
  • A note on q-Gaussians and non-Gaussians in statistical mechanics H. J. Hilhorst, G. Schehr J. Stat. Mech., P06003 (2007) PDF

             This paper has been highlighted by the editors of J. Stat. Mech.: Non Gaussian distributions under scrutiny


2008

  • Exact distribution of the maximal height of p vicious walkers G. Schehr, S. N. Majumdar, A. Comtet, J. Randon-Furling Phys. Rev. Lett. 101, 150601 (2008) PDF

             This paper has been highlighted by the editors of Nature Physics:  A Walk in the Park

  • Sylvester’s question and the Random Acceleration Process H. J. Hilhorst, P. Calka, G. Schehr J. Stat. Mech. P10010, (2008) PDF
  • Computer simulations of phase transitions and dynamics in confined systems H. Rieger, R. Paul, J.-D. Noh, G. Schehr Z. Phys. Chem. 222, 433 (2008) PDF
  • Dynamics of Annihilation I : Linearized Boltzmann Equation and Hydrodynamics M. I. Garcia de Soria, P. Maynar, G. Schehr, A. Barrat, E. Trizac Phys. Rev. E 77, 051128 (2008) PDF
  • Dynamics of Annihilation II: Fluctuations of Global Quantities P. Maynar, M. I. Garcia de Soria, G. Schehr, A. Barrat, E. Trizac Phys. Rev. E 77, 051128 (2008) PDF
  • Slow relaxation, dynamic transitions and extreme value statistics in disordered systems K. Van Duijvendijk, G. Schehr, F. Van Wijland Phys. Rev. E 78, 011120 (2008) PDF
  • Real Roots of Random Polynomials and Zero Crossing Properties of Diffusion Equation G. Schehr, S. N. Majumdar, J. Stat. Phys. 132, 235 (2008) PDF
  • Finite Temperature Behavior of Strongly Disordered Quantum Magnets Coupled to a Dissipative Bath G. Schehr, H. Rieger J. Stat. Mech. P04012, (2008) PDF

2009

  • Maximum Relative Height of One-Dimensional Interfaces : from Rayleigh to Airy Distribution J. Rambeau, G. Schehr J. Stat. Mech., P09004 (2009) PDF
  • The Longest Excursion of Stochastic Processes in Nonequilibrium Systems C. Godrèche, S.N. Majumdar, G. Schehr Phys. Rev. Lett. 102, 240602 (2009) PDF
  • Universal Nonstationary Dynamics at the Depinning Transition A. B. Kolton, G. Schehr, P. Le Doussal Phys. Rev. Lett. 103, 160602 (2009), PDF
  • Domain walls and chaos in the disordered SOS model K. Schwarz, A. Karrenbauer, G. Schehr, H. Rieger J. Stat. Mech. P08022, (2009) PDF

             This paper has been highlighted by the editors of J. Stat. Mech.: Exact computations test stochastic Loewner evolution and scaling in glassy systems

  • Condensation of the Roots of Real Random Polynomials on the Real Axis G. Schehr, S. N. Majumdar J. Stat. Phys. 135, 587 (2009) PDF
  • Collective Dynamics of Social Annotation C. Cattuto, A. Barrat, A. Baldassarri, G. Schehr, V. Loreto Proc. Nat. Acad. Sci. 106, 10511 (2009) PDF

2010

  • Extreme value statistics from the Real Space Renormalization Group: Brownian Motion, Bessel Processes and Continuous Time Random Walks G. Schehr, P. Le Doussal J. Stat. Mech. P01009 (2010) PDF
  • The longest excursion of fractional Brownian motion : numerical evidence of non-Markovian effects R. Garcia-Garcia, A. Rosso, G. Schehr Phys. Rev. E 81, 010102(R) (2010) PDF
  • Dynamic crossover in the persistence probability of manifolds at criticality A. Gambassi, R. Paul, G. Schehr J. Stat. Mech. (2010) P12029 PDF
  • Extremal statistics of curved growing interfaces in 1+1 dimensions J. Rambeau, G. Schehr Europhys. Lett. 91, 60006 (2010) PDF
  • Area distribution and the average shape of a Lévy bridge G. Schehr, S. N. Majumdar J. Stat. Mech. (2010) P08005 PDF
  • Spontaneous symmetry breaking in a two-lane model for bidirectional overtaking traffic C. Appert-Rolland, H. J. Hilhorst, G. Schehr J. Stat. Mech. (2010) P08024 PDF

2011

  • Non-intersecting Brownian walkers and Yang-Mills theory on the sphere P. J. Forrester, S. N. Majumdar, G. Schehr Nucl. Phys. B 844, 500 (2011) PDF
  • Distribution of the time at which N vicious walkers reach their maximal height J. Rambeau, G. Schehr Phys. Rev. E 83, 061146 (2011) PDF
  • Maximum relative height of elastic interfaces in random media J. Rambeau, S. Bustingorry, A. B. Kolton, G. Schehr Phys. Rev. E 84, 041131 (2011) PDF
  • First passages for a search by a swarm of independent random searchers C. Mejia-Monasterio, G. Oshanin, G. Schehr J. Stat. Mech. (2011) P06022 PDF
  • Symmetry breaking between statistically equivalent, independent channels in a few-channel chaotic scattering C. Mejia-Monasterio, G. Oshanin, G. Schehr Phys. Rev. E 84, 035203(R) (2011) PDF
  • Proportionate vs disproportionate distribution of wealth of two individuals in a tempered Paretian ensemble G. Oshanin, Yu. Holovatch, G. Schehr Physica A 390, 4340 (2011) PDF

 2012

  • Universal order statistics of random walks G. Schehr, S. N. Majumdar Phys. Rev. Lett. 108, 040601 (2012) PDF
  • Random ballistic growth and diffusion in symmetric spaces A. Gorsky, S. Nechaev, R. Santachiara, G. Schehr Nucl. Phys. B 862 (1), 167 (2012)  PDF
  • Record statistics for multiple random walks G. Wergen, S. N. Majumdar, G. Schehr Phys. Rev. E 86, 011119 (2012) PDF
  • Extremes of N vicious walkers for large N: application to the directed polymer and KPZ interfaces G. Schehr J. Stat. Phys. 149(3), 385 (2012) PDF
  • On the joint distribution of the maximum and its position of the Airy2 process minus a parabola J. Baik, K. Liechty, G. Schehr J. Math. Phys. 53, 083303 (2012) PDF
  • Record statistics and persistence for a random walk with a drift S. N. Majumdar, G. Schehr, G. Wergen J. Phys. A: Math. Theor. 45, 355002 (2012) PDF
  • Lévy flights on the half line R. Garcia-Garcia, A. Rosso, G. Schehr Phys. Rev. E 86, 011101 (2012) PDF
  • Finite-temperature and finite-time scaling of the directed polymer free-energy with respect to its geometrical fluctuations E. Agoritsas, S. Bustingorry, V. Lecomte, G. Schehr, T. Giamarchi Phys. Rev. E 86, 031144 (2012) PDF
  • Super-rough glassy phase of the random field XY model in two dimensions A. Perret, Z. Ristivojevic, P. Le Doussal, G. Schehr, K. Wiese Phys. Rev. Lett. 109, 157205 (2012) PDF
  • Two stock options at the races: Black-Scholes forecasts G. Oshanin, G. Schehr Quant. Fin. 12, 1325 (2012) PDF

 2013

  • Reunion probability of N vicious walkers: typical and large fluctuations for large N G. Schehr, S. N. Majumdar, A. Comtet, P. J. Forrester J. Stat. Phys. 150(3), 491 (2013) PDF
  • Large deviations of the top eigenvalue of large Cauchy random matrices S. N. Majumdar, G. Schehr, D. Villamaina, P. Vivo J. Phys. A: Math. Theor. 46, 022001 (2013)  PDF
  • Exact distributions of the number of distinct and common sites visited by N independent random walkers A. Kundu, S. N. Majumdar, G. Schehr Phys. Rev. Lett. 110, 220602 (2013)  PDF
  • Exact Statistics of the Gap and Time Interval Between the First Two Maxima of Random Walks S. N. Majumdar, P. Mounaix, G. Schehr Phys. Rev. Lett. 111, 070601 (2013)  PDF
  • Near-extreme statistics of Brownian motion A. Perret, A. Comtet, S. N. Majumdar, G. Schehr Phys. Rev. Lett.  111, 240601 (2013) PDF
  • Persistence and First-Passage properties in Non-equilibrium Systems A. J. Bray, S. N. Majumdar, G. Schehr Advances in Physics, Volume 62, No.3, pp 225-361 (2013) PDF
  • Asymmetric Lévy flights in the presence of absorbing boundaries C. de Mulatier, A. Rosso, G. Schehr J. Stat. Mech. P10006 (2013)
  • Anomalous fluctuations of currents in Sinai-type random chains with strongly correlated disorder G. Oshanin, A. Rosso, G. Schehr Phys. Rev. Lett. 110, 100602 (2013) PDF

2014

  • Exact record and order statistics of random walks via first-passage ideas G. Schehr, S. N. Majumdar in « First-Passage Phenomena and Their Applications », Eds. R. Metzler, G. Oshanin, S. Redner. World Scientific (2014), PDF
  • Trajectory-to-trajectory fluctuations in first-passage phenomena in bounded domains T. G. Mattos, C. Mejia-Monasterio, R. Metzler, G. Oshanin, G. Schehr in « First-Passage Phenomena and Their Applications », Eds. R. Metzler, G. Oshanin, S. Redner. World Scientific (2014), PDF
  • Index Distribution of Cauchy Random Matrices R. Marino, S. N. Majumdar, G. Schehr, P. Vivo J. Phys. A: Math. Theor. 47, 055001 (2014) PDF
  • Top eigenvalue of a random matrix: large deviations and third order phase transition S. N. Majumdar, G. Schehr J. Stat. Mech. P01012 (2014) PDF
  • Universal Order and Gap Statistics of Critical Branching Brownian Motion K. Ramola, S. N. Majumdar, G. Schehr Phys. Rev. Lett. 112, 210602 (2014) PDF
  • Fluctuating interfaces subject to stochastic resetting S. Gupta, S. N. Majumdar G. Schehr Phys. Rev. Lett. 112, 220601 (2014) PDF
  • Universal statistics of longest lasting records of random walks and Lévy flights C. Godrèche, S. N. Majumdar, G. Schehr , J. Phys. A: Math. Theor. 47, 255001 (2014) PDF
  • Phase transitions and edge scaling of number variance in Gaussian random matrices R. Marino, S. N. Majumdar, G. Schehr, P. Vivo, Phys. Rev. Lett. 112, 254101 (2014) PDF 
  • Near-extreme eigenvalues and the first gap of Hermitian random matrices A. Perret, G. Schehr, J. Stat. Phys. 156(5), pp. 843-876 (2014) PDF 
  • Maximal distance travelled by N vicious walkers till their survival A. Kundu, S. N. Majumdar, G. Schehr, J. Stat. Phys. 157(1), pp. 124-157 (2014) PDF
  • Diffusion in periodic, correlated random forcing landscapes D. S. Dean, S. Gupta, G. Oshanin, A. Rosso, G. Schehr, J. Phys. A: Math. Theor. 47, 372001 (2014) (Fast Track Communication) PDF  
  • On the Gap and Time Interval between the First Two Maxima of Long Random Walks Ph. Mounaix, S. N. Majumdar, G. Schehr,  J. Stat. Mech. P09013 (2014) PDF 
  • First order transition for the optimal search time of Lévy flights with resetting, L. Kusmierz, S. N. Majumdar, S. Sabhapandit, G. Schehr, Phys. Rev. Lett. 113, 220602 (2014)   PDF

    2015

  • Branching Brownian motion conditioned on particle numbers K. Ramola, S. N. Majumdar, G. Schehr, Chaos, Solitons and Fractals 74, 79 (2015), special issue on « Extreme events and its applications » PDF
  • Statistics of the longest interval in renewal processes C. Godrèche, S. N. Majumdar, G. Schehr, J. Stat. Mech. P03014 (2015)  PDF
  • Finite temperature free fermions and the Kardar-Parisi-Zhang equation at finite time D. Dean, P. Le Doussal, S. N. Majumdar, G. Schehr, Phys. Rev. Lett. 114, 110402 (2015) PDF
  • Spatial Extent of Branching Brownian Motion K. Ramola, S. N. Majumdar, G. Schehr, Phys. Rev. E 91, 042131 (2015) PDF
  • Dynamical transition in the temporal relaxation of stochastic processes under resetting, S. N. Majumdar, S. Sabhapandit, G. Schehr, Phys. Rev. E 91, 052131 (2015) PDF
  • Record statistics for random walk bridges, C. Godrèche, S. N. Majumdar, G. Schehr, J. Stat. Mech. P07026 (2015) PDF
  • The density of eigenvalues seen from the soft edge of random matrices in the Gaussian beta-ensembles, A. Perret, G. Schehr, Acta Phys. Pol. B 46, 1693 (2015) PDF
  • Large time zero temperature dynamics of the spherical p=2-spin model of finite size, Y. V. Fyodorov, A. Perret, G. Schehr, J. Stat. Mech. P11017 (2015), PDF
  • On certain functionals of the maximum of Brownian motion and their applications, A. Perret, A. Comtet, S. N. Majumdar, G. Schehr, J. Stat. Phys. 161, 1112 (2015) PDF
  • Random walk with random resetting to the maximum, S. N. Majumdar, S. Sabhapandit, G. Schehr, Phys. Rev. E 92, 052126 (2015), PDF
  • Universal ground state properties of free fermions in a d-dimensional trap, D. S. Dean, P. Le Doussal, S. N. Majumdar, G. Schehr, Europhys. Lett. 112, 60001 (2015), PDF

    2016

  • On the gap and time interval between the first two maxima of long continuous time random walks, Ph. Mounaix, G. Schehr, S. N. Majumdar,  J. Stat. Mech. 013303, (2016), PDF
  • Finite N corrections to the limiting distribution of the smallest eigenvalue of Wishart complex matrices, A. Perret, G. Schehr, Random Matrices: Theory Appl. 05, 1650001 (2016), PDF
  • Large deviations for the height in 1d Kardar-Parisi-Zhang growth at late times, P. Le Doussal, S. N. Majumdar, G. Schehr, EPL 113, 60004 (2016), PDF
  • Exact extreme value statistics at mixed order transitions, A. Bar, S. N. Majumdar, G. Schehr, D. Mukamel, Phys. Rev. E 93, 052130 (2016) PDF
  • Exact statistics of record increments of random walks and Lévy flights, C. Godrèche, S. N. Majumdar, G. Schehr, Phys. Rev. Lett. 117, 010601 (2016) PDF
  • Exact short-time height distribution in 1D KPZ equation and edge fermions at high temperature, P. Le Doussal, S. N. Majumdar, A. Rosso, G. Schehr, Phys. Rev. Lett. 117, 070403 (2016) PDF
  • Number statistics for β-ensembles of random matrices: applications to trapped fermions at zero temperature, R. Marino, S. N. Majumdar, G. Schehr, P. Vivo, Phys. Rev. E 94, 032115 (2016) PDF
  • Exact distribution of cover times for N independent random walkers in one dimension, S. N. Majumdar, S. Sabhapandit, G. Schehr, Phys. Rev. E 94, 062131 (2016) PDF
  • Non-interacting fermions at finite temperature in a d-dimensional trap: universal correlations, D. S. Dean, P. Le Doussal, S. N. Majumdar, G. Schehr, Phys. Rev. A 94, 063622 (2016) PDF


    2017

  • First Gap Statistics of Long Random Walks with Bounded Jumps, Ph. Mounaix, G. Schehr, J. Phys. A: Math. Theor. 50, 185001 (2017)  PDF
  • Record statistics of a strongly correlated time series: random walks and Lévy flights, C. Godrèche, S. N. Majumdar, G. Schehr, J. Phys. A: Math. Theor. 50, 333001 (2017) PDF
  • Statistics of the maximal distance and momentum in a trapped Fermi gas at low temperature, D. S. Dean, P. Le Doussal, S. N. Majumdar, G. Schehr, J. Stat. Mech. (2017) 063301 PDF
  • Periodic Airy process and equilibrium dynamics of edge fermions in a trap, P. Le Doussal, S. N. Majumdar, G. Schehr, Annals of Physics 383, 312 (2017) PDF

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