Eigenvalue spacings for quantized cat maps

Alex Gamburd, John Lafferty, Dan Rockmore

Type: Article

Publication Date: 2003-03-13

Citations: 4

DOI: https://doi.org/10.1088/0305-4470/36/12/336

View Publication

Locations

Journal of Physics A Mathematical and General - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	On quantum ergodicity for higher dimensional cat maps	2024	Pär Kurlberg Alina Ostafe Zeév Rudnick Igor E. Shparlinski
+	On quantum ergodicity for linear maps of the torus	1999	Pär Kurlberg Zeév Rudnick
+	ON QUANTUM ERGODICITY FOR LINEAR MAPS OF	1999	Ar Kurlberg Ze Ze Ev Rudnick
+	Statistical Properties of Quantized Toral Automorphisms	2022	Nir Schwartz
+	Small scale quantum ergodicity in cat maps. I	2018	Xiaolong Han
+ PDF Chat	A Note on Quantum Chaology and Gamma Approximations to Eigenvalue Spacings for Infinite Random Matrices	2009	C. T. J. Dodson
+	Discrete ergodic Jacobi matrices: Spectral properties and Quantum dynamical bounds	2017	Rui Han
+	Spectral anomalies and broken symmetries in maximally chaotic quantum maps	2023	Laura Shou Amit Vikram Victor Galitski
+ PDF Chat	Symmetries and spectral statistics in chaotic conformal field theories. Part II. Maass cusp forms and arithmetic chaos	2023	Felix M. Haehl Wyatt Reeves Moshe Rozali
+	Arithmetic Quantum Unique Ergodicity for Symplectic Linear Maps of the Multidimensional Torus	2005	Dubi Kelmer
+	Arithmetic Quantum Unique Ergodicity for Symplectic Linear Maps of the Multidimensional Torus	2005	Dubi Kelmer
+	Symmetries and spectral statistics in chaotic conformal field theories II: Maass cusp forms and arithmetic chaos	2023	Felix M. Haehl Wyatt Reeves Moshe Rozali
+ PDF Chat	Finite Size Effects for Spacing Distributions in Random Matrix Theory: Circular Ensembles and Riemann Zeros	2017	Folkmar Bornemann Peter J. Forrester Anthony Mays
+ PDF Chat	How much can the eigenvalues of a random Hermitian matrix fluctuate?	2021	Tom Claeys Benjamin Fahs Gaultier Lambert Christian Webb
+ PDF Chat	On Quantum Unique Ergodicity for Linear Maps of the Torus	2001	Zeév Rudnick
+ PDF Chat	Ergodic properties of quantized toral automorphisms	1997	Sławomir Klimek Andrzej Leśniewski Neepa T. Maitra Ron Rubin
+ PDF Chat	Arithmetic quantum unique ergodicity for symplectic linear maps of the multidimensional torus	2010	Dubi Kelmer
+	BC type z-measures and determinantal point processes	2018	Cesar Cuenca
+ PDF Chat	Quantization of multidimensional cat maps	2000	Alejandro M. F. Rivas Marcos Saraceno Alfredo M. Ozorio de Almeida
+ PDF Chat	Hierarchical structure in the trace formula*	2022	Jonathan P. Keating

Works That Cite This (4)

Action	Title	Year	Authors
+	Developments in Random Matrix Theory	2003	N. C. Snaith Peter J. Forrester J. J. M. Verbaarschot
+	Quantum Chaos on Random Cayley Graphs of <i> SL 2[Z/pZ]</i>	2017	Igor Rivin Naser T. Sardari
+	Quantum Chaos on random Cayley graphs of ${\rm SL}_2[\mathbb{Z}/p\mathbb{Z}]$	2017	Igor Rivin Naser T. Sardari
+	Operator spreading in quantum maps	2019	Sanjay Moudgalya Trithep Devakul Curt von Keyserlingk S. L. Sondhi

Works Cited by This (36)

Action	Title	Year	Authors
+	Cayley graphs: eigenvalues, expanders and random walks	1995	Alexander Lubotzky
+	Numerical investigation of the spectrum for certain families of Cayley graphs	1993	John Lafferty Daniel N. Rockmore
+	Level Spacings for Cayley Graphs	1999	John Lafferty Daniel N. Rockmore
+	Statistical Properties of Eigenvalues of the Hecke Operators	1987	Peter Sarnak
+	Elementary Number Theory, Group Theory and Ramanujan Graphs	2001	Giuliana P. Davidoff Peter Sarnak Alain Valette
+	Some Applications of Modular Forms	1990	Peter Sarnak
+ PDF Chat	Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝	1997	Jean-Pierre Serre
+	Ergodic problems of classical mechanics	1968	Владимир Игоревич Арнольд André Avez
+ PDF Chat	Index and dynamics of quantized contact transformations	1997	Steven Zelditch
+	Expanding graphs and invariant means	1997	Yehuda Shalom