Quantitative quantum ergodicity and the nodal domains of Maass-Hecke cusp forms

Junehyuk Jung

Type: Preprint

Publication Date: 2013-01-01

Citations: 8

DOI: https://doi.org/10.48550/arxiv.1301.6211

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Quantitative Quantum Ergodicity and the Nodal Domains of Hecke–Maass Cusp Forms	2016	Junehyuk Jung
+	Quantum ergodicity for shrinking balls in arithmetic hyperbolic manifolds	2020	Dimitrios Chatzakos Robin Frot Nicole Raulf
+	Subconvexity implies effective quantum unique ergodicity for Hecke–Maaß cusp forms on SL2(ℤ)∖SL2(ℝ)	2024	Ankit Bisain Peter Humphries Andrei Mandelshtam Noah Walsh Xun Wang
+ PDF Chat	Subconvexity Implies Effective Quantum Unique Ergodicity for Hecke-Maa{\ss} Cusp Forms on $\mathrm{SL}_2(\mathbb{Z}) \backslash \mathrm{SL}_2(\mathbb{R})$	2024	Ankit Bisain Peter Humphries Andrei Mandelshtam Noah Walsh Xun Wang
+	Quantum ergodicity for shrinking balls in arithmetic hyperbolic manifolds	2020	Dimitrios Chatzakos Robin Frot Nicole Raulf
+ PDF Chat	Quantum unique ergodicity and the number of nodal domains of eigenfunctions	2017	Seung uk Jang Junehyuk Jung
+ PDF Chat	Non-escape of mass for arithmetic quantum limits on hyperbolic $4$-manifolds	2024	Alexandre de Faveri Zvi Shem‐Tov
+ PDF Chat	Homogeneity of arithmetic quantum limits for hyperbolic $4$-manifolds	2024	Zvi Shem‐Tov Lior Silberman
+	Arithmetic quantum unique ergodicity for products of hyperbolic $2$- and $3$-manifolds	2022	Zvi Shem‐Tov Lior Silberman
+	Quantum unique ergodicity and the number of nodal domains of eigenfunctions	2015	Seung uk Jang Junehyuk Jung
+	Quantum unique ergodicity and the number of nodal domains of eigenfunctions	2015	Seung uk Jang Junehyuk Jung
+	$L^4$-norms and sign changes of Maass forms	2023	Haseo Ki
+	Quantum unique ergodicity for SL₂(ℤ)\ℍ	2010	K. Soundararajan
+ PDF Chat	Quadratic Hecke Sums and Mass Equidistribution	2021	Paul D. Nelson
+ PDF Chat	Quantum unique ergodicity for half-integral weight automorphic forms	2019	Stephen Lester Maksym Radziwiłł
+	Small scale quantum ergodicity in cat maps. I	2018	Xiaolong Han
+ PDF Chat	Equidistribution in shrinking sets and $$L^4$$ L 4 -norm bounds for automorphic forms	2018	Peter Humphries
+	Mass equidistribution for automorphic forms of cohomological type on 𝐺𝐿₂	2011	Simon Marshall
+ PDF Chat	New variants of arithmetic quantum ergodicity	2024	Peter Humphries Jesse Thorner
+	Quantum unique ergodicity for SL_2(Z)\H	2009	K. Soundararajan

Works That Cite This (8)

Action	Title	Year	Authors
+ PDF Chat	Equidistribution of Eisenstein series on geodesic segments	2018	Matthew P. Young
+	L norms, nodal sets, and quantum ergodicity	2016	Hamid Hezari Gabriel Rivière
+	Number of nodal domains and singular points of eigenfunctions of negatively curved surfaces with an isometric involution	2013	Junehyuk Jung Steve Zelditch
+	On the nodal lines of Eisenstein series on Schottky surfaces	2015	Dmitry Jakobson Frédéric Naud
+	Arithmetic, zeros, and nodal domains on the sphere	2013	Michael Magee
+ PDF Chat	Arithmetic, Zeros, and Nodal Domains on the Sphere	2015	Michael Magee
+ PDF Chat	Park City lectures on eigenfunctions	2016	Steve Zelditch
+	Quantum unique ergodicity and the number of nodal domains of eigenfunctions	2015	Seung uk Jang Junehyuk Jung

Works Cited by This (29)

Action	Title	Year	Authors
+ PDF Chat	Tables of Integral Transforms	2005	Bateman Manuscript H. Bateman Arthur Erdélyi
+	Quantum unique ergodicity for SL_2(Z)\H	2009	K. Soundararajan
+ PDF Chat	On the rate of quantum ergodicity I: Upper bounds	1994	Steven Zelditch
+	On Epstein's Zeta-Function	1934	E. C. Titchmarsh
+ PDF Chat	Percolation Model for Nodal Domains of Chaotic Wave Functions	2002	E. Bogomolny C. Schmit
+	On the mininum number of domains in which the nodal lines of spherical harmonics divide the sphere	1977	Hans Lewy
+ PDF Chat	Nodal Domains of Maass Forms I	2013	Amit Ghosh André Reznikov Peter Sarnak
+	L ∞ Norms of Eigenfunctions of Arithmetic Surfaces	1995	Henryk Iwaniec Peter Sarnak
+ PDF Chat	Quantum Variance of Maass-Hecke Cusp Forms	2009	Peng Zhao
+ PDF Chat	Quantum Ergodicity of Boundary Values of Eigenfunctions	2004	Andrew Hassell Steve Zelditch