# Periodic and Ergodic Spectral Problems

Created: | 2015-01-20 11:48 |
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Institution: | Isaac Newton Institute for Mathematical Sciences |

Description: | The main objective of the programme is to bring together specialists in periodic, almost- periodic and random problems to discuss recent developments and deep connections between the methods intrinsic for each of these research areas. In the last several years there emerged a number of methods that had originated in one of these topics (e.g. periodic or random operators) but later were successfully used to tackle problems in a parallel area (e.g. almost-periodic). This suggests that these three lines of research have more in common than previously believed, and the interaction between specialists working in each of these areas could lead to a better understanding of ergodic operators and take us closer to solving open problems.
The programme will thus have three major themes: periodic, almost-periodic, and random operators acting in Rd or Zd; operators on manifolds or graphs and more general ergodic operators will be also considered. We also intend to address problems that lie at the interface of the main topics (e.g. "sheared" periodic operators), and applications in other areas of mathematics (e.g. geometry). At the beginning of the programme, there will be a two-week long instructional conference with six mini-courses of about ten lectures each. The courses will be designed for students and non-specialists, and will be organised in order to make them accessible to the UK community. Further there will be three workshops evenly spread over the period of the programme to cover more advanced results, each centred around one of the main themes of the programme. However, we do not plan to make these workshops too specialised, and expect that all three themes will be prominently represented at each of them. We plan to organise the programme in such a way that at any time a mixture of experts from at least two areas will be present at the Institute. The programme has received funding from the European Research Council under the European Union's Seventh Framework Programme (FP/2007-2013) / ERC Grant Agreement n. 291147. |

# Media items

This collection contains 147 media items.

### Media items

#### A short introduction into multi-particle Anderson localization (a mini-course)

Tchoulaevski, V (Université de Reims Champagne-Ardenne)

Tuesday 14 April 2015, 14:00-16:00

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 20 Apr 2015

#### A Wegner estimate and localisation for alloy-type models with sign-changing exponentially decaying single-site...

Peyerimhoff, N (Durham University)

Monday 23 March 2015, 13:30-14:30

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 27 Mar 2015

#### Absolute continuity returns: potentials that are periodic in some directions only

Filonov, N (Russian Academy of Sciences, St Petersburg)

Tuesday 16 June 2015, 14:00-15:00

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 7 Jul 2015

#### Accumulation of complex eigenvalues for a class of indefinite Sturm-Liouville operators

Seri, M (University College London)

Tuesday 24 February 2015, 14:00-15:00

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 26 Feb 2015

#### An eigensystem approach to Anderson localization

Klein, A (University of California, Irvine)

Tuesday 23 June 2015, 10:00-11:00

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 30 Jun 2015

#### An eigensystem approach to Anderson localization, part II

Elgart, A (Virginia Polytechnic Institute and State University)

Tuesday 23 June 2015, 11:30-12:30

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 30 Jun 2015

#### Anderson localization for one-dimensional ergodic Schrödinger operators with piecewise monotonic sampling functions

Kachkovskiy, I (University of California, Irvine)

Tuesday 24 March 2015, 11:30-12:30

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 27 Mar 2015

#### Anderson localization in a multi-dimensional deterministic disorder I

Tchoulaevski, V (Université de Reims Champagne-Ardenne)

Wednesday 10 June 2015, 15:10-16:10

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 7 Jul 2015

#### Anderson localization in a multi-dimensional deterministic disorder II

Tchoulaevski, V (Université de Reims Champagne-Ardenne)

Friday 12 June 2015, 14:00-15:00

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 7 Jul 2015

#### Anderson transition at 2D growth-rate for the Anderson model on antitrees with normalized edge weights

Sadel, C (Institute of Science and Technology (IST Austria))

Thursday 09 April 2015, 16:00-16:25

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 13 Apr 2015

#### Arithmetic Spectral Transitions for the Maryland Model

Liu, W (Fudan University)

Tuesday 07 April 2015, 15:30-15:55

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 8 Apr 2015

#### Behavior of the spectrum of the periodic Schrodinger operators near the edges of the gaps

Shterenberg, R (University of Alabama at Birmingham)

Wednesday 24 June 2015, 13:30-14:30

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 30 Jun 2015

#### Behaviour of zero modes for a one-dimensional Dirac operator arising in models of graphene

Elton, D (Lancaster University)

Thursday 05 February 2015, 11:00-12:00

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 9 Feb 2015

#### Chambers formulas and semiclassical analysis for generalized Harper's butterflies

Helffer, B (Université Paris-Sud 11)

Wednesday 25 March 2015, 16:00-17:00

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 31 Mar 2015

#### Compactness principles and convergence of spectra in double-porosity models

Zhikov, V (Vladimir State University)

Thursday 11 June 2015, 14:00-15:00

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 7 Jul 2015

#### Conductance and absolutely continuous spectrum of 1D samples

Jaksic, V (McGill University)

Wednesday 13 May 2015, 14:00-15:00

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 28 May 2015

#### Continuity of Lyapunov Exponents and Cantor spectrum for a class of C2 Quasiperiodic Schr\"odinger Cocycles

Wang, Y (Nanjing University)

Wednesday 08 April 2015, 15:00-16:00

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 13 Apr 2015

#### Continuity of Lyapunov Exponents via Large Deviations

Klein, S (Department of Mathematical Sciences, NTNU)

Thursday 02 April 2015, 12:30-13:30

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 13 Apr 2015

#### Density of states and Lyapunov exponent in the heavy tail potentials

Molchanov, S (University of North Carolina)

Wednesday 27 May 2015, 14:00-15:00

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 28 May 2015

#### Derivation of the Fick's law for the Lorentz model in a low density regime

Nota, A (University of Helsinki)

Wednesday 03 June 2015, 14:00-15:00

**Collection**:
Periodic and Ergodic Spectral Problems

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 18 Jun 2015