9 citations · 9 across the 5 of their papers we have counts for
6 papers
Quantum ergodicity in the Benjamini--Schramm limit for locally symmetric spaces
Farrell Brumley, Simon Marshall, Jasmin Matz +1
We prove that for almost all symmetric spaces and for any sequence of compact locally symmetric spaces which is uniformly discrete, has a uniform spectral gap, and conver…
Resonances on geometrically finite graphs
Christian Arends, Carsten Peterson, Tobias Weich
In analogy with the spectral theory of geometrically finite hyperbolic manifolds, we initiate the study of resonances on geometrically finite (q+1)-regular graphs of groups. We pro…
Quantum ergodicity on the Bruhat-Tits building for in the Benjamini-Schramm limit
Carsten Peterson
We study joint eigenfunctions of the spherical Hecke algebra acting on where with a non-archimedean local field of arbitrary…
A geometric perspective on the MSTD question
Steven J. Miller, Carsten Peterson
A more sums than differences (MSTD) set is a subset of for which . Martin and O'Bryant used probabilistic techniques to prove that a non-vanishing p…
The bidirectional ballot polytope
Steven J. Miller, Carsten Peterson, Carsten Sprunger +1
A bidirectional ballot sequence (BBS) is a finite binary sequence with the property that every prefix and suffix contains strictly more ones than zeros. BBS's were introduced by Zh…
Summand minimality and asymptotic convergence of generalized Zeckendorf decompositions
Katherine Cordwell, Max Hlavacek, Chi Huynh +3
Given a recurrence sequence , with where for all and , the generalized Zeckendorf decomposi…