Add to ORKGA central problem in computational statistics is to convert a procedure for sampling combinatorial f...
We determine the order of magnitude of $\E|\sum_{n \leq x} f(n)|^{2q}$ up to factors of size $e^{O(q...
AbstractLetA≔1101,B≔1011, and for n∈N, let Φ(n) be the number of matrices C which are products of A'...
Introduction to the rest of lectures + value distribution of L-functions away from critical line
Selberg\u27s central limit theorem and analogues in families of L-functions (typical size of values ...
By analogy with conjectures for random matrices, Fyodorov-Hiary-Keating and Fyodorov-Keating propose...
Resolving a conjecture of Helson, Harper recently established that partial sums of random multiplica...
We prove the leading order of a conjecture by Fyodorov, Hiary and Keating, about the maximum of the ...
Let f be a Rademacher or a Steinhaus random multiplicative function. Let ε>0 small. We prove that, a...
We prove that if f(n) is a Steinhaus or Rademacher random multiplicative function, there almost sure...
18 pages, 5 figures. Typos corrected and some additional discussion added18 pages, 5 figures. Typos ...
We consider the extremes of the logarithm of the characteristic polynomial of matrices from the C$\b...
First we introduce the two tau-functions which appeared either as the τ -function of the integrable...
For an N×N random unitary matrix U_N, we consider the random field defined by counting the number of...
AbstractWe study the Epstein zeta function En(L,s) for s>n2 and a random lattice L of large dimensio...
A central problem in computational statistics is to convert a procedure for sampling combinatorial f...
We determine the order of magnitude of $\E|\sum_{n \leq x} f(n)|^{2q}$ up to factors of size $e^{O(q...
AbstractLetA≔1101,B≔1011, and for n∈N, let Φ(n) be the number of matrices C which are products of A'...
Introduction to the rest of lectures + value distribution of L-functions away from critical line
Selberg\u27s central limit theorem and analogues in families of L-functions (typical size of values ...
By analogy with conjectures for random matrices, Fyodorov-Hiary-Keating and Fyodorov-Keating propose...
Resolving a conjecture of Helson, Harper recently established that partial sums of random multiplica...
We prove the leading order of a conjecture by Fyodorov, Hiary and Keating, about the maximum of the ...
Let f be a Rademacher or a Steinhaus random multiplicative function. Let ε>0 small. We prove that, a...
We prove that if f(n) is a Steinhaus or Rademacher random multiplicative function, there almost sure...
18 pages, 5 figures. Typos corrected and some additional discussion added18 pages, 5 figures. Typos ...
We consider the extremes of the logarithm of the characteristic polynomial of matrices from the C$\b...
First we introduce the two tau-functions which appeared either as the τ -function of the integrable...
For an N×N random unitary matrix U_N, we consider the random field defined by counting the number of...
AbstractWe study the Epstein zeta function En(L,s) for s>n2 and a random lattice L of large dimensio...
A central problem in computational statistics is to convert a procedure for sampling combinatorial f...
We determine the order of magnitude of $\E|\sum_{n \leq x} f(n)|^{2q}$ up to factors of size $e^{O(q...
AbstractLetA≔1101,B≔1011, and for n∈N, let Φ(n) be the number of matrices C which are products of A'...