Random Geometry
| Created: | 2015-01-23 17:18 |
|---|---|
| Institution: | Isaac Newton Institute for Mathematical Sciences |
| Description: | A new frontier has emerged at the interface between probability, geometry, and analysis, with a central target to produce a coherent theory of the geometry of random structures. The principal question is the following: within a given structure, what is the interplay between randomness and geometry? More precisely, does the geometry appear to be random at every scale (i.e. fractal), or do fluctuations "average out" at sufficiently large scales? Can the global geometry be described by taking a suitable scaling limit that allows for concrete computations?
Spectacular progress has been made over the last ten years in this domain. The goal of the programme is to gather experts from probability, geometry, analysis and other connected areas, in order to study aspects of this question in some paradigmatic situations. Topics of particular relevance include the Gaussian Free Field, random planar maps and Liouville quantum gravity, in connection with conformally invariant scaling limits; spin glass models and branching random walks; percolation and random graphs; and random walks on graphs and groups in the case where the geometry is determined by some algebraic ambient structure. |
Media items
This collection contains 121 media items.
Media items
A (slightly) new look at the backbone
Garban, C (ENS - Lyon)
Wednesday 17 June 2015, 10:10-11:10
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 29 Jun 2015
A conformally invariant metric on CLE(4)
Watson, S (Massachusetts Institute of Technology)
Tuesday 27 January 2015, 13:30-14:30
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 2 Feb 2015
A hidden quantum group for pure partition functions of multiple SLEs
Kytölä, K (Aalto University)
Tuesday 21 April 2015, 11:30-12:30
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 22 Apr 2015
A line-breaking construction of the stable trees
Goldschmidt, C (University of Oxford)
Monday 16 March 2015, 15:30-16:30
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 17 Mar 2015
A multi-scale refinement of the second moment method Co-authors: L.P
Kistler, N (City College of New York)
Thursday 19 March 2015, 10:00-11:00
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 20 Mar 2015
A random walk proof of Kirchhoff's matrix tree theorem
Kozdron, M (University of Regina)
Wednesday 17 June 2015, 11:30-12:30
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 29 Jun 2015
Almost sure multifractal spectrum of SLE
Gwynne, E (Massachusetts Institute of Technology)
Wednesday 28 January 2015, 10:00-11:00
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 2 Feb 2015
Aperiodic hierarchical conformal tilings: random at the ends?
Stephenson, K (University of Tennessee)
Monday 26 January 2015, 15:00-16:00
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 2 Feb 2015
Blossoming trees and the scaling limit of maps
Albenque, M (École Polytechnique)
Monday 20 April 2015, 11:30-12:30
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 21 Apr 2015
Boundary Measures and Natural Time Parameterization for SLE
Alberts, T (University of Utah)
Thursday 18 June 2015, 16:30-17:30
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 30 Jun 2015
Branching Brownian motion, the Brownian net and selection in spatially structured populations
Etheridge, A (University of Oxford)
Wednesday 18 March 2015, 10:00-11:00
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 19 Mar 2015
Branching processes with competition by pruning of Levy trees
Berestycki, J (University of Oxford)
Wednesday 18 March 2015, 15:30-16:30
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 19 Mar 2015
Characterstic polynomials of random matrices and logarithmically correlated processes
Fyodorov, Y (Queen Mary, University of London)
Thursday 23 April 2015, 10:00-11:00
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 24 Apr 2015
Compact Brownian surfaces
Miermont, G (ENS - Lyon)
Monday 20 April 2015, 10:00-11:00
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 21 Apr 2015
Compensated Fragmentations
Bertoin, J (Universität Zürich)
Monday 16 March 2015, 10:00-11:00
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 17 Mar 2015
Competitive erosion is conformally invariant
Peres, Y (Microsoft Research)
Tuesday 16 June 2015, 09:00-10:00
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 29 Jun 2015
Conformal invariance of boundary touching loops of FK Ising model
Kemppainen, A (University of Helsinki)
Tuesday 27 January 2015, 15:00-16:00
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 2 Feb 2015
Conformal representations of Random Maps and Surfaces
Rohde, S (University of Washington)
Monday 15 June 2015, 11:30-12:30
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 29 Jun 2015
Conformal restriction: the chordal and the radial
Wu, H (Massachusetts Institute of Technology)
Tuesday 16 June 2015, 15:30-16:30
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 29 Jun 2015
Conformally Invariant Growing Mechanism in CLE4 and Couplings between GFF and CLE4
Wu, H (Massachusetts Institute of Technology)
Tuesday 27 January 2015, 11:30-12:30
Collection: Random Geometry
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 2 Feb 2015