# Random Geometry

Created: | 2015-01-23 17:18 |
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Institution: | Isaac Newton Institute for Mathematical Sciences |

Editors' group: | Editors group for "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

686 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)

503 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

621 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

556 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

689 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

655 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

542 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?

606 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

434 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

2,050 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

597 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

640 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

621 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

545 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

457 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

524 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

499 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

544 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

598 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

642 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