Motivated by the successful application of MCRG in momentum space to \lambda \phi^4_3 we determine the critical exponents at the crumpling transition in fixed triangulated surfaces. The results are still tentative, but suggest that -1.0\ge \eta \ge -1.3, pointing at a value for the fractal Hausdorff dimension at the crumpling transistion fixed point somewhere between 3 and 4
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2018.Cataloged fro...
[[abstract]]We study the Wolff cluster size distributions obtained from Monte Carlo simulations of t...
We relate various concepts of fractal dimension of the limiting set C in fractal percolation to the ...
We present the crumpling transition in three-dimensional Euclidian space of dynamically triangulated...
We apply Monte Carlo Renormalization group to the crumpling transition in random surface models of f...
Geometric properties of dynamically triangulated random surfaces in three-dimensional space can be d...
Abstract. We introduce a new concept of dimension for metric spaces, the so called topological Hausd...
We study numerically the fractal structure of the intrinsic geometry of random surfaces coupled to m...
This article is aimed at reviewing and studying the effects of the 2d-3d crossover on the effective ...
Self-avoiding random surfaces are analyzed by renormalization-group methods. The Hausdorff dimension...
We introduce several infinite families of critical exponents for the random-cluster model and presen...
16 pages, 18 figures, 7 tablesWe calculate the fractal dimension $d_{\rm f}$ of critical curves in t...
16 pages, 18 figures, 7 tablesInternational audienceWe calculate the fractal dimension $d_{\rm f}$ o...
Thorleifsson G, Bialas P, Petersson B. The weak-coupling limit of simplicial quantum gravity. NUCLEA...
AMBJORN J, BIALAS P, BURDA Z, JURKIEWICZ J, Petersson B. SEARCH FOR SCALING DIMENSIONS FOR RANDOM SU...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2018.Cataloged fro...
[[abstract]]We study the Wolff cluster size distributions obtained from Monte Carlo simulations of t...
We relate various concepts of fractal dimension of the limiting set C in fractal percolation to the ...
We present the crumpling transition in three-dimensional Euclidian space of dynamically triangulated...
We apply Monte Carlo Renormalization group to the crumpling transition in random surface models of f...
Geometric properties of dynamically triangulated random surfaces in three-dimensional space can be d...
Abstract. We introduce a new concept of dimension for metric spaces, the so called topological Hausd...
We study numerically the fractal structure of the intrinsic geometry of random surfaces coupled to m...
This article is aimed at reviewing and studying the effects of the 2d-3d crossover on the effective ...
Self-avoiding random surfaces are analyzed by renormalization-group methods. The Hausdorff dimension...
We introduce several infinite families of critical exponents for the random-cluster model and presen...
16 pages, 18 figures, 7 tablesWe calculate the fractal dimension $d_{\rm f}$ of critical curves in t...
16 pages, 18 figures, 7 tablesInternational audienceWe calculate the fractal dimension $d_{\rm f}$ o...
Thorleifsson G, Bialas P, Petersson B. The weak-coupling limit of simplicial quantum gravity. NUCLEA...
AMBJORN J, BIALAS P, BURDA Z, JURKIEWICZ J, Petersson B. SEARCH FOR SCALING DIMENSIONS FOR RANDOM SU...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2018.Cataloged fro...
[[abstract]]We study the Wolff cluster size distributions obtained from Monte Carlo simulations of t...
We relate various concepts of fractal dimension of the limiting set C in fractal percolation to the ...