Matthew de Courcy-Ireland

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All published works

Action	Title	Year	Authors
+ PDF Chat	Non-planarity of Markoff graphs $\bmod~p$	2024	Matthew de Courcy-Ireland
+ PDF Chat	A central limit theorem for integrals of random waves	2022	Matthew de Courcy-Ireland Marius Lemm
+	Six-dimensional sphere packing and linear programming	2022	Matthew de Courcy-Ireland Maria Dostert Maryna Viazovska
+ PDF Chat	Effective bounds for monochromatic connectivity measures in two dimensions	2021	Matthew de Courcy-Ireland Suresh Eswarathasan
+	Non-planarity of Markoff graphs mod p	2021	Matthew de Courcy-Ireland
+ PDF Chat	Kesten–McKay law for the Markoff surface mod <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>	2021	Matthew de Courcy-Ireland Michael Magee
+	Non-planarity of Markoff graphs mod p	2021	Matthew de Courcy-Ireland
+	Effective bounds for monochromatic connectivity measures in two dimensions	2020	Matthew de Courcy-Ireland Suresh Eswarathasan
+ PDF Chat	Shrinking Scale Equidistribution for Monochromatic Random Waves on Compact Manifolds	2020	Matthew de Courcy-Ireland
+ PDF Chat	Experiments with the Markoff Surface	2020	Matthew de Courcy-Ireland Seungjae Lee
+	Kesten-McKay law for the Markoff surface mod p.	2020	Matthew de Courcy-Ireland Michael Magee
+	Shrinking scale equidistribution for monochromatic random waves on compact manifolds.	2019	Matthew de Courcy-Ireland
+ PDF Chat	Hidden multiscale order in the primes	2019	Salvatore Torquato Ge Zhang Matthew de Courcy-Ireland
+	Shrinking scale equidistribution for monochromatic random waves on compact manifolds	2019	Matthew de Courcy-Ireland
+	A central limit theorem for integrals of random waves	2019	Matthew de Courcy-Ireland Marius Lemm
+	Experiments with the Markoff surface.	2018	Matthew de Courcy-Ireland Seungjae Lee
+	Kesten-McKay law for the Markoff surface mod p	2018	Matthew de Courcy-Ireland Michael Magee
+ PDF Chat	Uncovering multiscale order in the prime numbers via scattering	2018	Salvatore Torquato Ge Zhang Matthew de Courcy-Ireland
+ PDF Chat	The Gaussian core model in high dimensions	2018	Henry Cohn Matthew de Courcy-Ireland
+	Experiments with the Markoff surface	2018	Matthew de Courcy-Ireland Seungjae Lee
+	Kesten-McKay law for the Markoff surface mod p	2018	Matthew de Courcy-Ireland Michael Magee
+	Small-scale equidistribution for random spherical harmonics	2017	Matthew de Courcy-Ireland
+	Small-scale equidistribution for random spherical harmonics	2017	Matthew de Courcy-Ireland

Common Coauthors

Coauthor	Papers Together
Michael Magee	4
Seungjae Lee	3
Suresh Eswarathasan	2
Marius Lemm	2
Salvatore Torquato	2
Ge Zhang	2
Maryna Viazovska	1
Henry Cohn	1
Maria Dostert	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A Treatise on the Theory of Bessel Functions.	1923	Matthew Porter G. N. Watson	5
+ PDF Chat	Sur les formes quadratiques binaires ind�finies	1880	A. Markoff	5
+ PDF Chat	Fixed frequency eigenfunction immersions and supremum norms of random waves	2015	Boris Hanin Yaiza Canzani	5
+ PDF Chat	Scaling limit for the kernel of the spectral projector and remainder estimates in the pointwise Weyl law	2015	Yaiza Canzani Boris Hanin	5
+ PDF Chat	Injections de Sobolev probabilistes et applications	2013	Nicolas Burq Gilles Lebeau	5
+	λ1, Isoperimetric inequalities for graphs, and superconcentrators	1985	Noga Alon Vitali Milman	4
+ PDF Chat	A Haar component for quantum limits on locally symmetric spaces	2012	Nalini Anantharaman Lior Silberman	4
+ PDF Chat	The Markoff group of transformations in prime and composite moduli	2018	Chen Meiri Doron Puder	4
+ PDF Chat	Entropy and the localization of eigenfunctions	2008	Nalini Anantharaman	4
+	Entropy of Quantum Limits	2003	Jean Bourgain Elon Lindenstrauss	4
+	Sieving for mass equidistribution	2010	Roman Holowinsky	4
+ PDF Chat	Invariant measures and arithmetic quantum unique ergodicity	2006	Elon Lindenstrauss	4
+ PDF Chat	Semiclassical measures on hyperbolic surfaces have full support	2018	Semyon Dyatlov Long Jin	4
+	Markoff Surfaces and Strong Approximation: 1	2016	Jean Bourgain Alexander Gamburd Peter Sarnak	4
+ PDF Chat	The behaviour of eigenstates of arithmetic hyperbolic manifolds	1994	Zeév Rudnick Peter Sarnak	4
+ PDF Chat	Planck-Scale Mass Equidistribution of Toral Laplace Eigenfunctions	2017	Andrew Granville Igor Wigman	3
+	Counting Mapping Class group orbits on hyperbolic surfaces	2016	Maryam Mirzakhani	3
+ PDF Chat	On the number of nodal domains of random spherical harmonics	2009	Fëdor Nazarov Mikhail Sodin	3
+	Uniform distribution of eigenfunctions on compact hyperbolic surfaces	1987	Steven Zelditch	3
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum	3
+ PDF Chat	Small Scale Equidistribution of Random Eigenbases	2016	Xiaolong Han	3
+ PDF Chat	Small Scale Equidistribution of Eigenfunctions on the Torus	2016	Stephen Lester Zeév Rudnick	3
+ PDF Chat	Equidistribution of Random Waves on Small Balls	2019	Xiaolong Han Melissa Tacy	3
+ PDF Chat	Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions	2016	F. Nazarov Mikhail Sodin	3
+	The cycle structure of a Markoff automorphism over finite fields	2019	Alois Cerbu Elijah Gunther Michael Magee Luke Peilen	3
+ PDF Chat	The spectral function of an elliptic operator	1968	Lars Hörmander	3
+	The Continuous Newton's Method, Inverse Functions, and Nash-Moser	2007	J. W. Neuberger	2
+ PDF Chat	The sphere packing problem in dimension $8$	2017	Maryna Viazovska	2
+	Harald Cramér and the distribution of prime numbers	1995	Andrew Granville	2
+	None	1997	Jeffrey M. VanderKam	2
+ PDF Chat	Hyperuniformity and Phase Separation in Biased Ensembles of Trajectories for Diffusive Systems	2015	Robert L. Jack Ian R. Thompson Peter Sollich	2
+ PDF Chat	Optimal simplices and codes in projective spaces	2016	Henry Cohn Abhinav Kumar Gregory Minton	2
+	Ergodicit� et fonctions propres du laplacien	1985	Yves Colin de Verdìère	2
+ PDF Chat	New Conjectural Lower Bounds on the Optimal Density of Sphere Packings	2006	S. Torquato Frank H. Stillinger	2
+	Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem	1971	H. N. V. Temperley Élliott H. Lieb	2
+ PDF Chat	Hyperuniformity of quasicrystals	2017	Erdal C. Oğuz Joshua E. S. Socolar Paul J. Steinhardt Salvatore Torquato	2
+	On the distribution of primes in short intervals	1976	P. X. Gallagher	2
+ PDF Chat	Classical disordered ground states: Super-ideal gases and stealth and equi-luminous materials	2008	Robert D. Batten Frank H. Stillinger Salvatore Torquato	2
+	Designer disordered materials with large, complete photonic band gaps	2009	Marian Florescu Salvatore Torquato Paul J. Steinhardt	2
+	The expected eigenvalue distribution of a large regular graph	1981	Brendan D. McKay	2
+ PDF Chat	Small gaps between primes	2014	James Maynard	2
+ PDF Chat	Unexpected Density Fluctuations in Jammed Disordered Sphere Packings	2005	Aleksandar Donev Frank H. Stillinger Salvatore Torquato	2
+ PDF Chat	Avian photoreceptor patterns represent a disordered hyperuniform solution to a multiscale packing problem	2014	Yang Jiao Timothy T. Lau Haralampos Hatzikirou Michael Meyer‐Hermann Joseph C. Corbo Salvatore Torquato	2
+ PDF Chat	Difference equations, isoperimetric inequality and transience of certain random walks	1984	Józef Dodziuk	2
+ PDF Chat	Local density fluctuations, hyperuniformity, and order metrics	2003	Salvatore Torquato Frank H. Stillinger	2
+ PDF Chat	Hyperuniform Long-Range Correlations are a Signature of Disordered Jammed Hard-Particle Packings	2011	Chase E. Zachary Yang Jiao Salvatore Torquato	2
+	Über eine Eigenschaft der ebenen Komplexe	1937	Klaus W. Wagner	2
+	Asymptotic solutions of oscillatory initial value problems	1957	Peter D. Lax	2
+ PDF Chat	Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes	1923	G. H. Hardy J. E. Littlewood	2
+ PDF Chat	Diffraction of limit periodic point sets	2010	Michael Baake Uwe Grimm	2