Results 1 to 10 of about 11,178 (95)
Lorentzian and Euclidean Quantum Gravity - Analytical and Numerical Results [PDF]
We review some recent attempts to extract information about the nature of quantum gravity, with and without matter, by quantum field theoretical methods.
A Carlini +59 more
core +4 more sources
Byzantine Approximate Agreement on Graphs [PDF]
Consider a distributed system with n processors out of which f can be Byzantine faulty. In the approximate agreement task, each processor i receives an input value x_i and has to decide on an output value y_i such that 1) the output values are in the ...
Nowak, Thomas, Rybicki, Joel
core +6 more sources
Simplicial Ricci Flow: An Example of a Neck Pinch Singularity in 3D [PDF]
We examine a Type-1 neck pinch singularity in simplicial Ricci flow (SRF) for an axisymmetric piecewise flat 3-dimensional geometry with 3-sphere topology. SRF was recently introduced as an unstructured mesh formulation of Hamilton's Ricci flow (RF).
Alsing, Paul M. +6 more
core +1 more source
Classification of skew translation generalized quadrangles, I [PDF]
We describe new classification results in the theory of generalized quadrangles (= Tits-buildings of rank 2 and type B-2), more precisely in the (large) subtheory of skew translation generalized quadrangles ("STGQs").
Thas, Koen
core +4 more sources
Spin Foams and Noncommutative Geometry [PDF]
We extend the formalism of embedded spin networks and spin foams to include topological data that encode the underlying three-manifold or four-manifold as a branched cover.
Aastrup J +29 more
core +3 more sources
Black Holes as Quantum Gravity Condensates [PDF]
We model spherically symmetric black holes within the group field theory formalism for quantum gravity via generalised condensate states, involving sums over arbitrarily refined graphs (dual to 3d triangulations).
Oriti, Daniele +2 more
core +2 more sources
Problems on Polytopes, Their Groups, and Realizations [PDF]
The paper gives a collection of open problems on abstract polytopes that were either presented at the Polytopes Day in Calgary or motivated by discussions at the preceding Workshop on Convex and Abstract Polytopes at the Banff International Research ...
Schulte, Egon, Weiss, Asia Ivic
core +1 more source
R.A.Fisher, design theory, and the Indian connection [PDF]
Design Theory, a branch of mathematics, was born out of the experimental statistics research of the population geneticist R. A. Fisher and of Indian mathematical statisticians in the 1930s.
A R P Rau +43 more
core +3 more sources
We construct a discrete form of Hamilton's Ricci flow (RF) equations for a d-dimensional piecewise flat simplicial geometry, S. These new algebraic equations are derived using the discrete formulation of Einstein's theory of general relativity known as ...
David Gu +6 more
core +1 more source
Combinatorial and topological phase structure of non-perturbative n-dimensional quantum gravity
We provide a non-perturbative geometrical characterization of the partition function of $n$-dimensional quantum gravity based on a coarse classification of riemannian geometries.
Carfora, M. +2 more
core +1 more source

