Zobrazeno 1 - 10
of 112
pro vyhledávání: '"Nowik, Tahl"'
Autor:
Farber, Michael, Nowik, Tahl
We study random simplicial complexes in the multi-parameter upper model. In this model simplices of various dimensions are taken randomly and independently, and our random simplicial complex $Y$ is then taken to be the minimal simplicial complex cont
Externí odkaz:
http://arxiv.org/abs/2209.05418
Autor:
Katz, Mikhail G., Nowik, Tahl
The first paper in systolic geometry was published by Loewner's student P. M. Pu over half a century ago. Pu proved an inequality relating the systole and the area of an arbitrary metric on the real projective plane. We prove a stronger version of Pu
Externí odkaz:
http://arxiv.org/abs/2007.14664
We show that the metric universal cover of a plane with a puncture yields an example of a nonstandard hull properly containing the metric completion of a metric space. As mentioned by do Carmo, a nonextendible Riemannian manifold can be noncomplete,
Externí odkaz:
http://arxiv.org/abs/2002.07536
Autor:
Farber, Michael, Nowik, Tahl
We consider 2-dimensional random simplicial complexes $Y$ in the multi-parameter model. We establish the multi-parameter threshold for the property that every 2-dimensional simplicial complex $S$ admits a topological embedding into $Y$ asymptotically
Externí odkaz:
http://arxiv.org/abs/1912.03939
In this paper we discuss two general models of random simplicial complexes which we call the lower and the upper models. We show that these models are dual to each other with respect to combinatorial Alexander duality. The behaviour of the Betti numb
Externí odkaz:
http://arxiv.org/abs/1901.09578
Publikováno v:
Journal of Knot Theory and Its Ramifications, Vol. 28, No. 07, 1950031 (June 2019)
We study collections of planar curves that yield diagrams for all knots. In particular, we show that a very special class called potholder curves carries all knots. This has implications for realizing all knots and links as special types of meanders
Externí odkaz:
http://arxiv.org/abs/1804.09860
Publikováno v:
Open Mathematics 16 (2018), 149-153
An ultraproduct can be a helpful organizing principle in presenting solutions of problems at many levels, as argued by Terence Tao. We apply it here to the solution of a calculus problem: every infinite sequence has a monotone infinite subsequence, a
Externí odkaz:
http://arxiv.org/abs/1803.00312
Publikováno v:
Algebr. Geom. Topol. 18 (2018) 3647-3667
The representation of knots by petal diagrams (Adams et al. 2012) naturally defines a sequence of distributions on the set of knots. In this article we establish some basic properties of this randomized knot model. We prove that in the random n-petal
Externí odkaz:
http://arxiv.org/abs/1706.06571
Autor:
Bascelli, Tiziana, Blaszczyk, Piotr, Kanovei, Vladimir, Katz, Karin U., Katz, Mikhail G., Kutateladze, Semen S., Nowik, Tahl, Schaps, David M., Sherry, David
In relation to a thesis put forward by Marx Wartofsky, we seek to show that a historiography of mathematics requires an analysis of the ontology of the part of mathematics under scrutiny. Following Ian Hacking, we point out that in the history of mat
Externí odkaz:
http://arxiv.org/abs/1612.05944
Publikováno v:
Quantum Studies: Mathematics and Foundations 3 (2016), no. 3, 231-236
Small oscillations evolved a great deal from Klein to Robinson. We propose a concept of solution of differential equation based on Euler's method with infinitesimal mesh, with well-posedness based on a relation of adequality following Fermat and Leib
Externí odkaz:
http://arxiv.org/abs/1604.06663