Zobrazeno 1 - 10
of 107
pro vyhledávání: '"OLÁH, MÁRK"'
Autor:
Vincze, Csaba, Oláh, Márk
The L\'evi-Civita connection of a Riemannian manifold is a metric (compatible) linear connection, uniquely determined by its vanishing torsion. It is extremal in the sense that it has minimal torsion at each point. We can extend this idea to more gen
Externí odkaz:
http://arxiv.org/abs/2406.08033
In the paper we investigate locally symmetric polynomial metrics in special cases of Riemannian and Finslerian surfaces. The Riemannian case will be presented by a collection of basic results (regularity of second root metrics) and formulas up to Gau
Externí odkaz:
http://arxiv.org/abs/2403.09633
Autor:
Vincze, Csaba, Oláh, Márk
Finsler metrics are direct generalizations of Riemannian metrics such that the quadratic Riemannian indicatrices in the tangent spaces of a manifold are replaced by more general convex bodies as unit spheres. A linear connection on the base manifold
Externí odkaz:
http://arxiv.org/abs/2204.01034
Publikováno v:
INVOLVE: A JOURNAL OF MATHEMATICS 13 : 4 pp. 577-595. , 19 p. (2020)
An equidistant polytope is a special equidistant set in the space $\mathbb{R}^n$ all of whose boundary points have equal distances from two finite systems of points. Since one of the finite systems of the given points is required to be in the interio
Externí odkaz:
http://arxiv.org/abs/2112.08192
Autor:
Vincze, Csaba, Oláh, Márk
A linear connection on a Finsler manifold is called compatible to the Finsler function if its parallel transports preserve the Finslerian length of tangent vectors. Generalized Berwald manifolds are Finsler manifolds equipped with a compatible linear
Externí odkaz:
http://arxiv.org/abs/2108.10032
Autor:
Vincze, Csaba, Oláh, Márk
A linear connection on a Finsler manifold is called compatible to the metric if its parallel transports preserve the Finslerian length of tangent vectors. Generalized Berwald manifolds are Finsler manifolds equipped with a compatible linear connectio
Externí odkaz:
http://arxiv.org/abs/2001.04389
Publikováno v:
Phys. Rev. E 93, 042401 (2016)
The movement of a particle described by Brownian motion is quantified by a single parameter, $D$, the diffusion constant. The estimation of $D$ from a discrete sequence of noisy observations is a fundamental problem in biological single particle trac
Externí odkaz:
http://arxiv.org/abs/1508.02309
Autor:
Smith, Lorna I.F., Huang, Victoria, Olah, Mark, Trinh, Loc, Liu, Ying, Hazell, Georgina, Conway-Campbell, Becky, Zhao, Zidong, Martinez, Antoine, Lefrançois-Martinez, Anne-Marie, Lightman, Stafford, Spiga, Francesca, Aguilera, Greti
Publikováno v:
In Molecular and Cellular Endocrinology 1 January 2020 499
Autor:
Olah, Mark J., Stefanovic, Darko
Publikováno v:
Phys. Rev. E 87, 062713, June 2013
We introduce a model for translational molecular motors to demonstrate that a multivalent catalytic walker with flexible, uncoordinated legs can transform the free energy of surface-bound substrate sites into mechanical work and undergo biased, super
Externí odkaz:
http://arxiv.org/abs/1211.3482
Publikováno v:
In Tetrahedron 5 July 2018 74(27):3663-3670