Seán Gomes

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All published works

Action	Title	Year	Authors
+ PDF Chat	Generic KAM Hamiltonians are not quantum ergodic	2023	Seán Gomes
+ PDF Chat	Caustics of Weakly Lagrangian Distributions	2021	Seán Gomes Jared Wunsch
+	Semiclassical scarring on tori in KAM Hamiltonian systems	2021	Seán Gomes Andrew Hassell
+	Caustics of weakly Lagrangian distributions	2020	Seán Gomes Jared Wunsch
+	Self-focal points of ellipsoids of dimension $\geq 3$	2020	Seán Gomes Steve Zelditch
+	Semiclassical scarring on tori in KAM Hamiltonian systems	2018	Seán Gomes Andrew Hassell
+	KAM Hamiltonians are not Quantum Ergodic	2018	Seán Gomes
+ PDF Chat	Percival’s conjecture for the Bunimovich mushroom billiard	2018	Seán Gomes
+	Quantum ergodicity in mixed and kam hamiltonian systems	2017	Seán Gomes
+	Quantum ergodicity in mixed and KAM Hamiltonian systems	2017	Seán Gomes
+	Percival's Conjecture for the Bunimovich Mushroom Billiard	2015	Seán Gomes

Common Coauthors

Coauthor	Papers Together
Andrew Hassell	2
Jared Wunsch	2
Steve Zelditch	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Ergodic billiards that are not quantum unique ergodic	2010	Andrew Hassell	5
+	On conservation of conditionally periodic motions for a small change in Hamilton's function	1954	A N Kolmogorov	5
+	Geodesics on the ellipsoid	1980	Horst Kn�rrer	4
+	Uniform distribution of eigenfunctions on compact hyperbolic surfaces	1987	Steven Zelditch	4
+	KAM theorem and quasimodes for Gevrey Hamiltonians	2004	Georgi Popov	3
+ PDF Chat	Percival’s conjecture for the Bunimovich mushroom billiard	2018	Seán Gomes	3
+ PDF Chat	Pointwise Bounds for Joint Eigenfunctions of Quantum Completely Integrable Systems	2020	Jeffrey Galkowski John A. Toth	3
+ PDF Chat	Ergodicity of eigenfunctions for ergodic billiards	1996	Steven Zelditch Maciej Zworski	3
+ PDF Chat	KAM theorem for Gevrey Hamiltonians	2004	Georgi Popov	3
+ PDF Chat	Rigidity of reducibility of Gevrey quasi-periodic cocycles on $U(n)$	2016	Xuanji Hou Georgi Popov	2
+	Fourier coefficients of modular forms of half-integral weight	1987	Henryk Iwaniec	2
+ PDF Chat	Fourier integral operators. I	1971	Lars Hörmander	2
+ PDF Chat	Restriction of toral eigenfunctions to hypersurfaces	2009	Jean Bourgain Zeév Rudnick	2
+	Integrals of rapidly oscillating functions and singularities of projections of Lagrangian manifolds	1973	Vladimir I. Arnold	2
+ PDF Chat	Quantum ergodicity for a class of mixed systems	2014	Jeffrey Galkowski	2
+	Caustics of Hamiltonian systems: an alternative to the surface of section method	1995	T. J. Stuchi R. Vieira-Martins	2
+	Oscillatory integrals, lagrange immersions and unfolding of singularities	1974	J. J. Duistermaat	2
+	Mushrooms and other billiards with divided phase space	2001	Leonid Bunimovich	2
+	NORMAL FORMS OF FUNCTIONS IN NEIGHBOURHOODS OF DEGENERATE CRITICAL POINTS	1974	Vladimir I. Arnold	2
+ PDF Chat	Note on quantum unique ergodicity	2003	Steve Zelditch	2
+ PDF Chat	Quantum mushroom billiards	2007	Alex H. Barnett Timo Betcke	2
+ PDF Chat	Optimal strong approximation for quadratic forms	2019	Naser T. Sardari	2
+	Ergodic properties of eigenfunctions for the Dirichlet problem	1993	Patrick Gérard Éric Leichtnam	2
+ PDF Chat	Restriction and spectral multiplier theorems on asymptotically conic manifolds	2013	Colin Guillarmou Andrew Hassell Adam Sikora	2
+ PDF Chat	Note on converse quantum ergodicity	2009	Boris Gutkin	2
+	An Extension Theorem of Whitney Type for Non Quasi-Analytic Classes of Functions	1980	Joaquim Bruna	2
+	Hyperbolic distribution problems and half-integral weight Maass forms	1988	William Duke	2
+ PDF Chat	Semi-Classical Wavefront Set and Fourier Integral Operators	2008	Ivana Alexandrova	2
+ PDF Chat	On the ergodic properties of nowhere dispersing billiards	1979	Leonid Bunimovich	2
+	On E. Borel's theorem	1988	Hans-Joachim Petzsche	2
+ PDF Chat	Microlocal limits of plane waves and Eisenstein functions	2014	Semyon Dyatlov Colin Guillarmou	2
+ PDF Chat	Geometry and Spectrum in 2D Magnetic Wells	2015	Nicolas Raymond San Vũ Ngọc	1
+ PDF Chat	Geodesic flow on three-dimensional ellipsoids with equal semi-axes	2007	Chris M. Davison Holger R. Dullin	1
+	Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards	1970	Ya. G. Sinaĭ	1
+ PDF Chat	Weyl's law and quantum ergodicity for maps with divided phase space (with an appendix Converse quantum ergodicity)	2004	Jens Marklof Steven G. O’Keefe Steve Zelditch	1
+	Fourier Integrals in Classical Analysis	1993	Christopher D. Sogge	1
+ PDF Chat	A lecture on the classical KAM theorem	2001	Jürgen Pöschel	1
+	Fourier Integral Operators	2010	J. J. Duistermaat	1
+	Microlocal Analysis for Differential Operators	1994	Alain Grigis Johannes Sjöstrand	1
+	Ergodic Theory	1982	I. P. Cornfeld S. V. Fomin Ya. G. Sinaĭ	1
+ PDF Chat	Geometrical Methods in the Theory of Ordinary Differential Equations	1983	Vladimir I. Arnold	1
+	Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables	1965	J. W. W. Milton Abramowitz Irene A. Stegun	1
+	Hamiltonian systems with Poisson commuting integrals	1984	Håkan Eliasson	1
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	1
+	Perturbations of the spherical pendulum and Abelian integrals.	1990	Emil Horozov	1
+	Geodesics on the ellipsoid and monodromy	2007	Chris M. Davison Holger R. Dullin Alexey V. Bolsinov	1
+ PDF Chat	Ergodic theory and the geodesic flow on surfaces of constant negative curvature	1971	Eberhard Hopf	1
+ PDF Chat	Norms of modes and quasi-modes revisited	2003	John A. Toth Steve Zelditch	1
+	The cut loci and the conjugate loci on ellipsoids	2004	Jin‐ichi Itoh Kazuyoshi Kiyohara	1
+	Ergodicit� et limite semi-classique	1987	Bernard Helffer A. Martinez Didier Robert	1