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pro vyhledávání: '"Niedner, Benjamin"'
Autor:
Niedner, Benjamin
This thesis is devoted to the application of random matrix theory to the study of random surfaces, both discrete and continuous; special emphasis is placed on surface boundaries and the associated boundary conditions in this formalism. In particular,
Externí odkaz:
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.714068
Autor:
Niedner, Benjamin
This thesis is devoted to the application of random matrix theory to the study of random surfaces, both discrete and continuous; special emphasis is placed on surface boundaries and the associated boundary conditions in this formalism. In particular,
Externí odkaz:
http://arxiv.org/abs/1603.01196
The resolvent operator plays a central role in matrix models. For instance, with utilizing the loop equation, all of the perturbative amplitudes including correlators, the free-energy and those of instanton corrections can be obtained from the spectr
Externí odkaz:
http://arxiv.org/abs/1601.04934
Publikováno v:
J.Phys. A49 (2016) 185201
We compute the partition function of the $q$-states Potts model on a random planar lattice with $p\leq q$ allowed, equally weighted colours on a connected boundary. To this end, we employ its matrix model representation in the planar limit, generalis
Externí odkaz:
http://arxiv.org/abs/1511.03657
Publikováno v:
Springer Proc.Phys. 170 (2016) 387-393
We revisit the 3-states Potts model on random planar triangulations as a Hermitian matrix model. As a novelty, we obtain an algebraic curve which encodes the partition function on the disc with both fixed and mixed spin boundary conditions. We invest
Externí odkaz:
http://arxiv.org/abs/1511.01525
Autor:
Nicolini, Piero, Niedner, Benjamin
Publikováno v:
Phys.Rev.D83:024017,2011
After recalling the concept of the Hausdorff dimension, we study the fractal properties of a quantum particle path. As a novelty we consider the possibility for the space where the particle propagates to be endowed with a quantum-gravity-induced mini
Externí odkaz:
http://arxiv.org/abs/1009.3267
Autor:
Niedner, Benjamin, Atkin, Max, Wheater, John F., Nicolini, Piero, Kaminski, Matthias, Mureika, Jonas, Bleicher, Marcus
Publikováno v:
Springer Proceedings in Physics ISBN: 9783319200453
We revisit the 3-states Potts model on random planar triangulations as a Hermitian matrix model. As a novelty, we obtain an algebraic curve which encodes the partition function on the disc with both fixed and mixed spin boundary conditions. We invest
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cbc221598980cbb95190a7ea0e4effd7
https://doi.org/10.1007/978-3-319-20046-0_47
https://doi.org/10.1007/978-3-319-20046-0_47
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