Zobrazeno 1 - 10
of 697
pro vyhledávání: '"Johnson, Joseph P."'
In Cosmology, when dissipative effects are minimal, the energy content of the Universe can be effectively described as a sum of perfect fluids. Perfect fluid descriptions ensure thermal equilibrium since they equilibrate immediately. However, interac
Externí odkaz:
http://arxiv.org/abs/2408.12341
Characteristic imsets are 0/1-vectors representing directed acyclic graphs whose edges represent direct cause-effect relations between jointly distributed random variables. A characteristic imset (CIM) polytope is the convex hull of a collection of c
Externí odkaz:
http://arxiv.org/abs/2404.18500
Thomas Schelling introduced his agent-based model of segregation in 1971 and concluded that even when there is a low amount of intolerance within society that segregation will develop if people follow their individual preferences. A large body of lit
Externí odkaz:
http://arxiv.org/abs/2403.02122
Autor:
Alexandr, Yulia, Bakenhus, Miles, Curiel, Mark, Deshpande, Sameer K., Gross, Elizabeth, Gu, Yuqi, Hill, Max, Johnson, Joseph, Kagy, Bryson, Karwa, Vishesh, Li, Jiayi, Lyu, Hanbaek, Petrović, Sonja, Rodriguez, Jose Israel
In the last quarter of a century, algebraic statistics has established itself as an expanding field which uses multilinear algebra, commutative algebra, computational algebra, geometry, and combinatorics to tackle problems in mathematical statistics.
Externí odkaz:
http://arxiv.org/abs/2402.13961
Autor:
Johnson, Joseph, Liu, Ricky Ini
We define a birational map between labelings of a rectangular poset and its associated trapezoidal poset. This map tropicalizes to a bijection between the plane partitions of these posets of fixed height, giving a new bijective proof of a result by P
Externí odkaz:
http://arxiv.org/abs/2311.07133
Autor:
Johnson, Joseph, Sullivant, Seth
The codegree of a lattice polytope is the smallest integer dilate that contains a lattice point in the relative interior. The weak maximum likelihood threshold of a statistical model is the smallest number of data points for which there is a non-zero
Externí odkaz:
http://arxiv.org/abs/2310.11560
We show that very-long-baseline-interferometry (VLBI) observations of supermassive black holes will allow us to test the fundamental principles of General Relativity (GR). GR is based on the universality of gravity and Einstein's equivalence principl
Externí odkaz:
http://arxiv.org/abs/2303.13271
Autor:
Johnson, Joseph, Liu, Ricky Ini
We study piecewise-linear and birational lifts of Sch\"utzenberger promotion, evacuation, and the RSK correspondence defined in terms of toggles. Using this perspective, we prove that certain chain statistics in rectangles shift predictably under the
Externí odkaz:
http://arxiv.org/abs/2210.04326
Autor:
Johnson, Joseph E.
This paper reframes Riemannian geometry as a generalized Lie algebra allowing the equations of both RG and then General Relativity to be expressed as commutation relations among fundamental operators. We begin with an Abelian Lie algebra of n operato
Externí odkaz:
http://arxiv.org/abs/2209.09620
Publikováno v:
Alg. Stat. 14 (2023) 109-131
Characteristic imsets are 0-1 vectors which correspond to Markov equivalence classes of directed acyclic graphs. The study of their convex hull, named the characteristic imset polytope, has led to new and interesting geometric perspectives on the imp
Externí odkaz:
http://arxiv.org/abs/2209.01834