Inverse Problems and Flows

Pollicott-Ruelle Resonant States and Betti Numbers

Author(s): Benjamin Küster, Tobias Weich
Published in: Communications in Mathematical Physics, Issue 378/2, 2020, Page(s) 917-941, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-020-03793-2

Generic Dynamical Properties of Connections on Vector Bundles

Author(s): Mihajlo Cekić, Thibault Lefeuvre
Published in: International Mathematics Research Notices, 2021, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnab069

A paradifferential approach for hyperbolic dynamical systems and applications

Author(s): Bonthonneau, Yannick Guedes; Guillarmou, Colin; De Poyferré, Thibault
Published in: Tunisian Journal of Mathematics, Issue Vol 4, no 4, 2023, Page(s) 673–718, ISSN 2576-7658
Publisher: Mathematical Sciences Publishers
DOI: 10.48550/arxiv.2103.15397

Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets

Author(s): Arnaiz, V��ctor
Published in: Journal of Spectral Theory, Issue Vol 12 , no 2, 2022, Page(s) 745–812, ISSN 1664-039X
Publisher: EMS
DOI: 10.4171/jst/418

Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds

Author(s): Colin Guillarmou; Benjamin Küster; Benjamin Küster
Published in: Annales Henri Poincaré, Issue 1, 2021, Page(s) 1424-0661, ISSN 1424-0661
Publisher: Springer
DOI: 10.1007/s00023-021-01068-7

Closed billiard trajectories with prescribed bounces

Author(s): Chaubet, Yann
Published in: Annales Henri Poincaré, Issue 2, 2022, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.48550/arxiv.2108.11340

The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds

Author(s): Mihajlo Cekić; Benjamin Delarue; Semyon Dyatlov; Gabriel P. Paternain
Published in: Inventiones Mathematicae, Issue 22, 2022, ISSN 1432-1297
Publisher: Springer
DOI: 10.48550/arxiv.2009.08558

Asymptotically Euclidean metrics without conjugate points are flat

Author(s): Colin Guillarmou; Marco Mazzucchelli; Leo Tzou
Published in: "The Journal of Geometric Analysis, 2023, 33, ⟨10.1007/s12220-022-01098-5⟩", Issue 13, 2023, ISSN 1559-002X
Publisher: Springer
DOI: 10.1007/s12220-022-01098-5

Closed geodesics with prescribed intersection numbers

Author(s): Chaubet, Yann
Published in: Geometry and Topology, Issue 2, 2023, ISSN 1465-3060
Publisher: University of Warwick
DOI: 10.48550/arxiv.2103.16301

Closed Billiards Trajectories with Prescribed Bounces

Author(s): Yann Chaubet
Published in: Annales Henri Poincaré, Issue 12, 2022, ISSN 1424-0661
Publisher: Springer
DOI: 10.1007/s00023-022-01229-2

Conformal bootstrap in Liouville Theory

Author(s): Colin Guillarmou; Antti Kupiainen; Rémi Rhodes; Vincent Vargas
Published in: Acta Mathematica, In press, Issue 18, 2023, ISSN 1871-2509
Publisher: International Press of Boston
DOI: 10.48550/arxiv.2005.11530

"Stability estimates in inverse problems for the Schr\""odinger and wave equations with trapping"

Author(s): Arnaiz, Victor; Guillarmou, Colin
Published in: Revista Matematica Iberoamericana, Issue 8, 2023, ISSN 0213-2230
Publisher: Universidad Autonoma de Madrid
DOI: 10.4171/rmi/1327

X-ray Transform in Asymptotically Conic Spaces

Author(s): Colin Guillarmou, Matti Lassas, Leo Tzou
Published in: International Mathematics Research Notices, Issue rnaa286, 2020, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnaa286

Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions

Author(s): K��ster, Benjamin; Ramacher, Pablo
Published in: Journal of Symplectic Geometry, Issue Vol 19, no 6, 2021, Page(s) 1281 – 1337, ISSN 1527-5256
Publisher: International Press
DOI: 10.48550/arxiv.1910.04752

"Radial source estimates in H\""older-Zygmund spaces for hyperbolic dynamics"

Author(s): Bonthonneau, Yannick Guedes; Lefeuvre, Thibault
Published in: Annales Henri Lebesgue, Issue 1, 2023, ISSN 2644-9463
Publisher: Centre Mersenne

Geodesic stretch, pressure metric and marked length spectrum rigidity

Author(s): COLIN GUILLARMOU, GERHARD KNIEPER, THIBAULT LEFEUVRE
Published in: Ergodic Theory and Dynamical Systems, 2021, Page(s) 1-49, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2021.75

Afterword: Dynamical zeta functions for Axiom A flows

Author(s): Semyon Dyatlov, Colin Guillarmou
Published in: Bulletin of the American Mathematical Society, Issue 55/3, 2018, Page(s) 337-342, ISSN 0273-0979
Publisher: American Mathematical Society
DOI: 10.1090/bull/1628

Horocyclic invariance of Ruelle resonant states for contact Anosov flows in dimension $3$

Author(s): Colin Guillarmou, Frédéric Faure
Published in: Mathematical Research Letters, Issue 25/5, 2018, Page(s) 1405-1427, ISSN 1073-2780
Publisher: Mathematical Publishing
DOI: 10.4310/mrl.2018.v25.n5.a3

The Linearized Calderón Problem on Complex Manifolds

Author(s): Colin Guillarmou, Mikko Salo, Leo Tzou
Published in: Acta Mathematica Sinica, English Series, Issue 35/6, 2019, Page(s) 1043-1056, ISSN 1439-8516
Publisher: Springer Verlag
DOI: 10.1007/s10114-019-8129-7

X-Ray Transform and Boundary Rigidity for Asymptotically Hyperbolic Manifolds

Author(s): C. Robin Graham, Colin Guillarmou, Plamen Stefanov, Gunther Uhlmann
Published in: Annales de l'Institut Fourier, Issue 69/7, 2019, Page(s) 2857-2919, ISSN 1777-5310
Publisher: Centre Mersenne
DOI: 10.5802/aif.3339

Boundary and lens rigidity for non-convex manifolds

Author(s): Colin Guillarmou, Marco Mazzucchelli, Leo Tzou
Published in: American Journal of Mathematics, 2019, ISSN 0002-9327
Publisher: The Johns Hopkins University Press

The marked length spectrum of Anosov manifolds

Author(s): Guillarmou, Lefeuvre
Published in: Annals of Mathematics, Issue 190/1, 2019, Page(s) 321, ISSN 0003-486X
Publisher: Princeton University Press
DOI: 10.4007/annals.2019.190.1.6

Polyakov’s formulation of 2 d $2d$ bosonic string theory

Author(s): Colin Guillarmou, Rémi Rhodes, Vincent Vargas
Published in: Publications mathématiques de l'IHÉS, 2019, ISSN 0073-8301
Publisher: Springer Verlag
DOI: 10.1007/s10240-019-00109-6

On the s-injectivity of the x-ray transform on manifolds with hyperbolic trapped set

Author(s): Thibault Lefeuvre
Published in: Nonlinearity, Issue 32/4, 2019, Page(s) 1275-1295, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/aaf81b

Local Marked Boundary Rigidity Under Hyperbolic Trapping Assumptions

Author(s): Thibault Lefeuvre
Published in: The Journal of Geometric Analysis, 2019, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-019-00149-8

Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces

Author(s): Thibault Lefeuvre
Published in: Commentarii Mathematici Helvetici, 2019, ISSN 0010-2571
Publisher: Birkhauser Verlag

RUELLE-TAYLOR RESONANCES OF ANOSOV ACTIONS

Author(s): Bonthonneau, Yannick; Guillarmou, Colin; Hilgert, Joachim; Weich, Tobias
Published in: Journal of the European Mathematical Society, Issue 10, 2023, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.48550/arxiv.2007.14275

Resonant spaces for volume-preserving Anosov flows

Author(s): Mihajlo Cekić, Gabriel P. Paternain
Published in: Pure and Applied Analysis, Issue 2/4, 2020, Page(s) 795-840, ISSN 2578-5885
Publisher: MSP
DOI: 10.2140/paa.2020.2.795

First Band of Ruelle Resonances for Contact Anosov Flows in Dimension 3

Author(s): Mihajlo Cekić, Colin Guillarmou
Published in: Communications in Mathematical Physics, Issue 386/2, 2021, Page(s) 1289-1318, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04090-2

Poincar\'e series for surfaces with boundary

Author(s): Yann Chaubet
Published in: Nonlinearity, Issue Volume 35, No 12, 2022, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ac9507

Polyhedral Billiards, Eigenfunction Concentration and Almost Periodic Control

Author(s): Mihajlo Cekić, Bogdan Georgiev, Mayukh Mukherjee
Published in: Communications in Mathematical Physics, Issue 377/3, 2020, Page(s) 2451-2487, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-020-03741-0

Localization and delocalization of eigenmodes of Harmonic Oscillators

Author(s): Arnaiz, V��ctor; Maci��, Fabricio
Published in: Proceedings of the American Mathematical Society, Issue 14, 2022, Page(s) 2195-2208, ISSN 1088-6826
Publisher: American Mathematical Society
DOI: 10.1090/proc/15767

Scattering rigidity for analytic metrics

Author(s): Colin Guillarmou; Malo Jezequel, Yanick Bonthonneau
Published in: 2022
Publisher: arXiv

SRB measures for Anosov actions

Author(s): Bonthonneau, Yannick,; Guillarmou, Colin; Weich, Tobias
Published in: https://hal.archives-ouvertes.fr/hal-03325073, Issue 3, 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2103.12127

Generic injectivity of the X-ray transform

Author(s): Ceki��, Mihajlo; Lefeuvre, Thibault
Published in: Issue 3, 2022
Publisher: arxiv
DOI: 10.48550/arxiv.2107.05119

Local lens rigidity for manifolds of Anosov type

Author(s): Colin Guillarmou; Mihajlo Cekic; Thibault Lefeuvre
Published in: 2022
Publisher: arXiv

The Fried conjecture in small dimensions

Author(s): Nguyen Viet Dang, Colin Guillarmou, Gabriel Rivière, Shu Shen
Published in: Inventiones mathematicae, Issue 220/2, 2020, Page(s) 525-579, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-019-00935-9

Eigenvalue bounds for non-self-adjointSchrödinger operators with nontrapping metrics

Author(s): Colin Guillarmou, Andrew Hassell, Katya Krupchyk
Published in: Analysis & PDE, Issue 13/6, 2020, Page(s) 1633-1670, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/apde.2020.13.1633

High frequency limits for invariant Ruelle densities

Author(s): Colin Guillarmou, Joachim Hilgert, Tobias Weich
Published in: Annales Henri Lebesgue, Issue 4, 2021, Page(s) 81-119, ISSN 2644-9463
Publisher: Centre Mersenne
DOI: 10.5802/ahl.67

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