Section de mathématiques

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2019

Scientific Articles

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Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbationsAbdulle, Assyr; Pavliotis, Grigorios A.; Vilmart, Gilles;
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Asymptotics of even-even correlations in the Ising modelOtt, Sébastien; Velenik, Yvan;
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Exact perturbative results for the Lieb-Liniger and Gaudin-Yang modelsMarino Beiras, Marcos; Martins De Oliveira, Tomas;
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Highly oscillatory problems with time-dependent vanishing frequencyChartier, Philippe; Lemou, Mohammed; Méhats, Florian; Vilmart, Gilles;
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Resurgence for superconductorsMarino Beiras, Marcos; Martins De Oliveira, Tomas;
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Topological complexity of photons’ paths in biological tissuesBinzoni, Tiziano; Martelli, Fabrizio; Cimasoni, David;

Preprints

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Asymptotics of correlations in the Ising model: a brief surveyOtt, Sébastien; Velenik, Yvan;
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Sharp Asymptotics for the Truncated Two-Point Function of the Ising Model with a Positive FieldOtt, Sébastien;
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Weak Mixing and Analyticity of the Pressure in the Ising ModelOtt, Sébastien;

Doctoral Thesis

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A graph-theoretic approach to Grothendieck-Teichmüller and Kashiwara-Vergne theoriesFelder, Matteo;
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A mould-theoretic perspective on Kashiwara-Vergne theoryRaphael, Elise;
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Conformal invariance and universality of the dimer modelRusskikh, Marianna;
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Courant algebroids and string low energy effective actionsValach, Fridrich;
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On maximal subgroups and other aspects of branch groupsFrancoeur, Dominik;
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On Ornstein-Zernike theory and some applicationsOtt, Sébastien;
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The Discrete Duality Finite Volume method in the context of weather prediction modelsMoody, Sandie;
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The domain decomposition method of Bank and Jimack as an optimized Schwarz methodMamooler, Parisa;
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Wilson surface theoryChekeres, Olga;

2018

Scientific Articles

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A cross correlation method for chemical profiles in minerals, with an application to zircons of the Kilgore Tuff (USA)Probst, Line; Sheldrake, Thomas Edward; Gander, Martin Jakob; Wallace, G.; ... Caricchi, Luca
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Dyson Ferrari-Spohn diffusions and ordered walks under area tiltsIoffe, Dmitry; Velenik, Yvan; Wachtel, Vitali;
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Holomorphic anomaly and quantum mechanicsCodesido Sanchez, Santiago; Marino Beiras, Marcos;
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Low-temperature interfaces: Prewetting, layering, faceting and Ferrari-Spohn diffusionsIoffe, Dmitry; Velenik, Yvan;
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Modeling whole body trace metal concentrations in aquatic invertebrate communities: A trait-based approachHug Peter, Dorothea; Sardy, Sylvain; Diaz Rodriguez, Jairo; Castella, Emmanuel; Slaveykova, Vera
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Optimal explicit stabilized integrator of weak order one for stiff and ergodic stochastic differential equationsAbdulle, Assyr; Almuslimani, Ibrahim; Vilmart, Gilles;
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Potts models with a defect lineOtt, Sébastien; Velenik, Yvan;

Doctoral Thesis

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A geometric approach to non-perturbative quantum mechanicsCodesido Sanchez, Santiago;
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Cohomological and K-theoretic invariants of singularity lociKolokolnikova, Natalia;
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Geometry and topology of refined structures on the Hilbert scheme of points on the planeHsiao, Yi-Ning;
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Local law and mesoscopic linear statistics of random matricesHe, Yukun;
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Loop flows in the Kuramoto modelDelabays, Robin;
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Low dimensional defects in percolation modelKhristoforov, Mikhail;
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Nodal rational sextics in the real projective planeJosi, Johannes;
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On some aspects of the behaviour of paths and interfaces in discrete and continuous models: random-cluster model, self-repelling polymers and Brownian motionSmirnova, Daria;
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Optimal Coarse Space Correction for Domain Decomposition MethodsChaouqui, Faycal;
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Thresholding in high dimensional statistics: an application in testing and CosmologyDiaz Rodriguez, Jairo;

2017

Scientific Articles

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Computing the long term evolution of the solar system with geometric numerical integratorsFiorelli, Shaula; Vilmart, Gilles;
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Fast Langevin based algorithm for MCMC in high dimensionsDurmus, Alain; Roberts, Gareth O.; Vilmart, Gilles; Zygalakis, Konstantinos C.;
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Lipidomics reveals diurnal lipid oscillations in human skeletal muscle persisting in cellular myotubes cultured in vitroLoizides-Mangold, Ursula; Perrin, Laurent; Vandereycken, Bart; Betts, James A; ... Dibner, Charna
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Spectral Theory and Mirror Curves of Higher GenusCodesido Sanchez, Santiago; Grassi, Alba; Marino Beiras, Marcos;

Books

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Statistical Mechanics of Lattice Systems: a Concrete Mathematical IntroductionFriedli, Sacha; Velenik, Yvan;

Preprints

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Non-Perturbative Quantum Mechanics from Non-Perturbative StringsCodesido Sanchez, Santiago; Marino Beiras, Marcos; Schiappa, Ricardo;
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On the resummation of the Lee-Yang edge singularity coupled to gravityCodesido Sanchez, Santiago;

Doctoral Thesis

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Correlations in spin models and delocalization of random surfacesGagnebin, Maxime Henri;
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Invariants of colored links and generalizations of the Burau representationConway, Anthony;
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Khovanov homology of torus links: structure and computationsBenheddi, Mounir;
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Non-commutative differential calculus and its applications in low-dimensional topologyNaef, Florian;
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The dimer and Ising models on non-orientable surfacesPham, Anh Minh;
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Thresholding estimators for high-dimensional data: model selection, testing and existenceGiacobino, Caroline;
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Tropical curves, convex domains, sandpiles and amoebasShkolnikov, Mikhail;
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Une généralisation non-commutative des équations de recolement de ThurstonMorvan, Xavier;
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Universality of the random-cluster model and applications to quantum systemsLi, Jhih-Huang;

Masters

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Splitting methods for the Schrödinger equation with absorbing boundary conditionsBertoli, Guillaume Balthazar;

2016

Scientific Articles

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A quantitative Burton-Keane estimate under strong FKG conditionDuminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan;
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Asymptotic Preserving numerical schemes for multiscale parabolic problemsCrouseilles, Nicolas; Lemou, Mohammed; Vilmart, Gilles;
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Evaluation of a new low sheath–flow interface for CE-MSGonzalez Ruiz, Victor; Codesido Sanchez, Santiago; Far, Johann; Rudaz, Serge; Schappler, Julie
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Gauging MSSM global symmetries and SUSY breaking in de Sitter vacuumAntoniadis, I.; Knoops, Rob;
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High Order Integrator for Sampling the Invariant Distribution of a Class of Parabolic Stochastic PDEs with Additive Space-Time NoiseBréhier, Charles-Edouard; Vilmart, Gilles;
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Matrix models from operators and topological strings, 2Kashaev, Rinat Mavlyavievich; Marino Beiras, Marcos; Zakany, Szabolcs;
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Quenched Voronoi percolationAhlberg, Daniel; Griffiths, Simon; Morris, Robert; Tassion, Vincent;

Preprints

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Holomorphic Anomaly and Quantum MechanicsCodesido Sanchez, Santiago; Marino Beiras, Marcos;

Doctoral Thesis

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Hyperbolic spaces and bounded cohomologyPieters, Hester Frederiek;
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Le statisticien neuronal: comment la perspective bayesienne peut enrichir les neurosciencesDehaene, Guillaume;
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Limits of graphs and number theory: a case for spectral zeta functionsFriedli, Fabien;
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On subgroups and Schreier graphs of finitely generated groupsLeemann, Paul-Henry;
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Positivity for Stanley's chromatic functionsPaunov, Alexander;
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Properties of self-avoiding walks and a stress-energy tensor in the O(n) modelGlazman, Alexander;
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Quot schemes and moduli spacesJuhasz, Mate;
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Stokes phenomenon, dynamical r-matrices and Poisson geometryXu, Xiaomeng;
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Surface bundles over surfaces: a study through signature and simplicial volumeCampagnolo, Caterina;

2015

Scientific Articles

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An invariance principle to Ferrari-Spohn diffusionsIoffe, Dmitry; Shlosman, Senya; Velenik, Yvan;
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Linearized numerical homogenization method for nonlinear monotone parabolic multiscale problemsAbdulle, Assyr; Huber, Martin; Vilmart, Gilles;
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Long time accuracy of Lie-Trotter splitting methods for Langevin dynamicsAbdulle, Assyr; Vilmart, Gilles; Zygalakis, Konstantinos C.;
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Postprocessed Integrators for the High Order Integration of Ergodic SDEsVilmart, Gilles;
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Resumming the string perturbation seriesGrassi, Alba; Marino Beiras, Marcos; Zakany, Szabolcs;

Proceedings Chapters

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Évaluer une action de vulgarisation des mathématiquesFiorelli, Shaula; Audin, Pierre; Belbachir, Hacène; Cherix, Pierre-Alain; Rittaud, Benoît

Présentations / Interventions

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Parafermionic observables and their applicationsDuminil-Copin, Hugo;

Doctoral Thesis

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Analysis of Schwarz methods for discontinuous Galerkin discretizationsHajian, Soheil;
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Differential Graded Manifolds and n-CategoriesSiran, Michal;
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From neutrino radiative transfer in core-collapse supernovae to fuzzy domain based coupling methodsMichaud, Jérôme;
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Méthodes de décomposition de domaines pour des problèmes de propagation d'ondes hétérogènesVeneros Alfaro, Erwin German;
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On AutFn action on group presentationsMyropolska, Aglaia;
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Spanning trees in discrete tori, hypercubic lattices and circulant graphsLouis, Justine;
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Tropical geometry for Nagata's conjecture and Legendrian curvesKalinin, Nikita;

2014

Scientific Articles

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A one-loop test of quantum supergravityBhattacharyya, Sayantani; Grassi, Alba; Marino Beiras, Marcos; Sen, Ashoke;
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Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problemsAbdulle, Assyr; Vilmart, Gilles;
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High Order Numerical Approximation of the Invariant Measure of Ergodic SDEsAbdulle, Assyr; Vilmart, Gilles; Zygalakis, Konstantinos C.;
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Multi-revolution composition methods for highly oscillatory differential equationsChartier, Philippe; Makazaga, Joseba; Murua, Ander; Vilmart, Gilles;
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On the Gibbs states of the noncritical Potts model on Z^2Coquille, Loren; Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan;
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Weak Second Order Multirevolution Composition Methods for Highly Oscillatory Stochastic Differential Equations with Additive or Multiplicative NoiseVilmart, Gilles;

Preprints

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Exact results in N=8 Chern-Simons-matter theories and quantum geometryCodesido Sanchez, Santiago; Grassi, Alba; Marino Beiras, Marcos;
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Quantization conditions and functional equations in ABJ(M) theoriesGrassi, Alba; Hatsuda, Yasuyuki; Marino Beiras, Marcos;
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Topological Strings from Quantum MechanicsGrassi, Alba; Hatsuda, Yasuyuki; Marino Beiras, Marcos;

Doctoral Thesis

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Convergence analysis of substructuring Waveform Relaxation methods for space-time problems and their application to Optimal Control ProblemsMandal, Bankim;
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Geometry of tropical curves and application to real algebraic geometryLang, Lionel;
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