Alexander Hock

activity

20182026

most citedBlobbed topological recursion of the quartic Kontsevich model I: Loop equations and conjectures

25 citations · 158 across the 23 of their papers we have counts for

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Showing 2023 · math-phShow all

3 papers · 2 filters

math-ph2023★ 5 cited

$x - y$ duality in Topological Recursion for exponential variables via Quantum Dilogarithm

Alexander Hock

For a given spectral curve, the theory of topological recursion generates two different families $ω_{g, n}$ and $ω_{g, n}^{\lor}$ of multi-differentials, which are for algebraic spectr…

math-ph2023★ 8 cited

Laplace transform of the $x - y$ symplectic transformation formula in Topological Recursion

Alexander Hock

The functional relation coming from the $x - y$ symplectic transformation of Topological Recursion has a lot of applications, for instance it is the higher order moment-cumulant rela…

math-ph2023★ 2 cited

Blobbed topological recursion from extended loop equations

Alexander Hock, Raimar Wulkenhaar

We consider the $N \times N$ Hermitian matrix model with measure $d μ_{E, λ} (M) = \frac{1}{Z} exp (- \frac{λ N}{4} tr (M^{4})) d μ_{E, 0} (M)$ , where $d μ_{E, 0}$ is the Gaussian measure…

x−y duality in Topological Recursion for exponential variables via Quantum Dilogarithm

Laplace transform of the x−y symplectic transformation formula in Topological Recursion

Blobbed topological recursion from extended loop equations

$x - y$ duality in Topological Recursion for exponential variables via Quantum Dilogarithm

Laplace transform of the $x - y$ symplectic transformation formula in Topological Recursion