Zobrazeno 1 - 10
of 176
pro vyhledávání: '"Duplantier, Bertrand"'
Publikováno v:
Nucl. Phys. B 995 (2023) 116335
We study the statistics of Hamiltonian cycles on various families of bicolored random planar maps (with the spherical topology). These families fall into two groups corresponding to two distinct universality classes with respective central charges $c
Externí odkaz:
http://arxiv.org/abs/2305.02188
Publikováno v:
Nucl. Phys. B 987 (2023) 116084
We evaluate the configuration exponents of various ensembles of Hamiltonian paths drawn on random planar bicubic maps. These exponents are estimated from the extrapolations of exact enumeration results for finite sizes and compared with their theoret
Externí odkaz:
http://arxiv.org/abs/2210.08887
We present new results for the complex generalized integral means spectrum for two kinds of whole-plane Loewner evolutions driven by L\'evy processes: - L\'evy processes with continuous trajectories, which correspond to Schramm-Loewner evolutions (SL
Externí odkaz:
http://arxiv.org/abs/2206.09192
We show how the theory of the critical behaviour of $d$-dimensional polymer networks of arbitrary topology can be generalized to the case of networks confined by hyperplanes. This in particular encompasses the case of a single polymer chain in a brid
Externí odkaz:
http://arxiv.org/abs/2006.02309
We show how the theory of the critical behaviour of $d$-dimensional polymer networks gives a scaling relation for self-avoiding {\em bridges} that relates the critical exponent for bridges $\gamma_b$ to that of terminally-attached self-avoiding arche
Externí odkaz:
http://arxiv.org/abs/1908.03872
Publikováno v:
In Nuclear Physics, Section B February 2023 987
We complete the mathematical analysis of the fine structure of harmonic measure on SLE curves that was initiated by Beliaev and Smirnov, as described by the averaged integral means spectrum. For the unbounded version of whole-plane SLE as studied by
Externí odkaz:
http://arxiv.org/abs/1605.03112
Publikováno v:
Commun. Math. Phys. 404, 1125-1229 (2023)
In the O(n) loop model on random planar maps, we study the depth - in terms of the number of levels of nesting - of the loop configuration, by means of analytic combinatorics. We focus on the 'refined' generating series of pointed disks or cylinders,
Externí odkaz:
http://arxiv.org/abs/1605.02239