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pro vyhledávání: '"Mereb, Martín"'
Autor:
de Amorin, Lucas, Mereb, Martin
We provided explicit formulas for the number of stringy points over finite fields of parabolic type A character varieties with generic semisimple monodromy. This leads to formulas for their stringy E-polynomials. In particular, they satisfy the Betti
Externí odkaz:
http://arxiv.org/abs/2411.05563
Autor:
Álvarez, Nicolás, Becher, Verónica, Cesaratto, Eda, Mereb, Martín, Peres, Yuval, Weiss, Benjamin
We define Poisson genericity for infinite sequences in any finite or countable alphabet with an invariant exponentially-mixing probability measure. A sequence is Poisson generic if the number of occurrences of blocks of symbols asymptotically follows
Externí odkaz:
http://arxiv.org/abs/2411.04116
Autor:
Liwski, Emiliano, Mereb, Martín
The Iwahori--Hecke and Yokonuma--Hecke algebras have played crucial roles in algebraic combinatorics and the representation theory of finite groups. In this work, we use classical results from representation theory to compute the character values of
Externí odkaz:
http://arxiv.org/abs/2408.15405
The discrepancy of a binary string is the maximum (absolute) difference between the number of ones and the number of zeroes over all possible substrings of the given binary string. In this note we determine the minimal discrepancy that a binary de Br
Externí odkaz:
http://arxiv.org/abs/2407.17367
Publikováno v:
Discrete Applied Mathematics 357 (2024) 352-364
In 1972 Mykkeltveit proved that the maximum number of vertex-disjoint cycles in the de Bruijn graphs of order $n$ is attained by the pure cycling register rule, as conjectured by Golomb. We generalize this result to the tensor product of the de Bruij
Externí odkaz:
http://arxiv.org/abs/2308.16257
Autor:
Mereb, Martín
In this note we prove an assertion made by M. Levin in 1999: the Pascal matrix modulo 2 has the property that each of the square sub-matrices laying on the upper border or on the left border has determinants, computed in $\mathbb{Z}$, equal to 1 or -
Externí odkaz:
http://arxiv.org/abs/2210.12913
Publikováno v:
In Discrete Applied Mathematics 15 November 2024 357:352-364
Years ago, Zeev Rudnick defined the Poisson generic real numbers by counting the number of occurrences of long blocks of digits in the initial segments of the expansions of the real numbers in a fixed integer base. Peres and Weiss proved that almost
Externí odkaz:
http://arxiv.org/abs/2202.01632
We study the Hardy space of translated Dirichlet series $\mathcal{H}_{+}$. It consists on those Dirichlet series $\sum a_n n^{-s}$ such that for some (equivalently, every) $1 \leq p < \infty$, the translation $\sum{a_{n}}n^{-(s+\frac{1}{\sigma})}$ be
Externí odkaz:
http://arxiv.org/abs/2003.04041
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