Results 1 to 10 of about 11,236 (199)

Lorentzian and Euclidean Quantum Gravity - Analytical and Numerical Results [PDF]

, 2000
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, A Carlini, A Nabutovsky, A Thompson, BV Bakker de, C Teitelboim, EA Bender, F Acquistapace, F David, H Kawai, H-C Ren, I. Antoniadis, J Ambjorn, J Ambjorn, J Ambjorn, J Ambjorn, J Ambjorn, J AmbjOrn, J Ambjorn, J Ambjorn, J Ambjorn, J Ambjorn, J Ambjorn, J Ambjorn, J Ambjorn, J Ambjorn, J Jurkiewicz, J Louko, J Smit, J. Ambj0rn, J. Ambj0rn, J. Ambjorn, J. Ambjorn, J. Ambjorn, JW Alexander, L. Bombelli, M Carfora, M Gross, MA Bershadsky, ME Agishtein, N Ishibashi, N Ishibashi, P. Bialas, R Nakayama, R. Sorkin, RM Wald, S Bilke, S Bilke, S Catterall, S. Bilke, T Banks, T Regge, T. Jonsson, U Pachner, U Wolff, VA Kazakov, VA Kazakov, Y Watabiki, Y Watabiki, Z Burda   +59 more
core   +4 more sources

Byzantine Approximate Agreement on Graphs [PDF]

, 2019
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]

, 2014
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., Corne, Matthew, Gu, Xianfeng, Lloyd, Seth, Miller, Warner A., Ray, Shannon, Yau, Shing-Tung   +6 more
core   +1 more source

Status of background-independent coarse-graining in tensor models for quantum gravity [PDF]

, 2018
A background-independent route towards a universal continuum limit in discrete models of quantum gravity proceeds through a background-independent form of coarse graining. This review provides a pedagogical introduction to the conceptual ideas underlying
Eichhorn, Astrid, Koslowski, Tim, Pereira, Antonio D.   +2 more
core   +2 more sources

Classification of skew translation generalized quadrangles, I [PDF]

, 2014
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]

, 2010
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, Aastrup J, Aastrup J Grimstrup J M, Aastrup J Grimstrup J M Paschke M, Aastrup J Grimstrup J M Paschke M, Aastrup J Grimstrup J M Paschke M Nest R, Ahmad Zainy al-Yasry, Baez J C, Bobtcheva I Piergallini R, Bratteli O, Bratteli O, Brodzki J, Chamseddine A H, Connes A, Connes A, Domenic Denicola, Duston C, Engle J, Fox R H, Hamber H W, Kauffman L H, Kinoshita S, Matilde Marcolli, Penrose R, Ponzano G, Prasolov V V, Rovelli C, Schleich K, Stillwell J, Zainy al-Yasry A   +29 more
core   +3 more sources

Black Holes as Quantum Gravity Condensates [PDF]

, 2018
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, Pranzetti, Daniele, Sindoni, Lorenzo   +2 more
core   +2 more sources

R.A.Fisher, design theory, and the Indian connection [PDF]

, 2009
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, A. Ekert, A. R. P. Rau, Box Joan Fisher, C. H. Bennett, D. Jungnickel, D. R. Hughes, D. Rao Raghava, E. Witt, F. Yates, G. M. Dixon, H. Gropp, H. Gropp, H. Lenz, H. S. M. Coxeter, J. C. Baez, J. Gani, J. H. Bennett, J. Hadamard, J. Steiner, J. W. P. Hirschfeld, J. W. Tankard Jr, L. E. Dickson, M. Hall Jr, M. Pinl, M. Planat, M. Reiss, N. L. Biggs, N. L. Biggs, P. Levay, R C Bose, R. A. Fisher, R. A. Fisher, R. A. Fisher, R. A. Fisher, R. A. Fisher, R. C. Bose, R. C. Bose, S. E. Fienberg, S. R. Savur, T. Beth, T. L. Hankins, T. P. Kirkman, T. P. Kirkman   +43 more
core   +3 more sources

Polyhedra in loop quantum gravity

, 2011
Interwiners are the building blocks of spin-network states. The space of intertwiners is the quantization of a classical symplectic manifold introduced by Kapovich and Millson.
A. Ashtekar, A. D. Alexandrov, A. M. Perelomov, B. Büeler, C. Godsil, C. Rovelli, Eugenio Bianchi, F. A. Berezin, F. A. Berezin, H. Minkowski, H. S. M. Coxeter, J. C. Baez, J. J. Little, John R. Klauder, M. Kapovich, P. Gritzmann, Pietro Doná, Simone Speziale, T. Thiemann, U. Pachner   +19 more
core   +3 more sources

Antimatroids and Balanced Pairs [PDF]

, 2013
We generalize the 1/3-2/3 conjecture from partially ordered sets to antimatroids: we conjecture that any antimatroid has a pair of elements x,y such that x has probability between 1/3 and 2/3 of appearing earlier than y in a uniformly random basic word ...
Eppstein, David
core   +1 more source