Random Geometry

Random Geometry's image
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.

Showing results 1-20 of 121    < Prev    1 2 3 4 5 6 7    Next >
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Media items

A (slightly) new look at the backbone

   663 views

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)

   491 views

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

   613 views

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

   547 views

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

   681 views

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

   627 views

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

   525 views

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?

   599 views

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

   427 views

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

   1,966 views

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

   583 views

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

   633 views

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

   611 views

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

   535 views

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

   447 views

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

   516 views

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

   491 views

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

   533 views

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

   539 views

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

   597 views

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


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