Jean-Marc Schlenker

activity

19992023

most citedOn the renormalized volume of hyperbolic 3-manifolds

94 citations · 605 across the 65 of their papers we have counts for

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5 papers · 1 filter

math.CO2013

Submatrices of Hadamard matrices: complementation results

Teo Banica, Ion Nechita, Jean-Marc Schlenker

Two submatrices $A, D$ of a Hadamard matrix $H$ are called complementary if, up to a permutation of rows and columns, $H = [_{C}^{A}_{D}^{B}]$ . We find here an explicit formula for the po…

math.CO2013

Small circulant complex Hadamard matrices of Butson type

Gaurush Hiranandani, Jean-Marc Schlenker

We study the circulant complex Hadamard matrices of order $n$ whose entries are $l$ -th roots of unity. For $n = l$ prime we prove that the only such matrix, up to equivalence, is the…

math.CO2012

Analytic aspects of the circulant Hadamard conjecture

Teodor Banica, Ion Nechita, Jean-Marc Schlenker

We investigate the problem of counting the real or complex Hadamard matrices which are circulant, by using analytic methods. Our main observation is the fact that for $|q_0|=...=|q…

math.CO2010

Combinatorial aspects of orthogonal group integrals

Teodor Banica, Jean-Marc Schlenker

We study the integrals of type $I (a) = \int_{O_{n}} \prod u_{ij}^{a_{ij}} d u$ , depending on a matrix $a \in M_{p \times q} (N)$ , whose exact computation is an open problem. Our re…

math.CO2007★ 1 cited

On Hadamard matrices at roots of unity

Teodor Banica, Jean-Marc Schlenker

This paper has been withdrawn by the authors, the main result being known since Lam and Leung, J. Algebra 2000.