Periodic and Ergodic Spectral Problems

Periodic and Ergodic Spectral Problems's image
Created: 2015-01-20 11:48
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.

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Media items

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

   99 views

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


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

   232 views

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

   46 views

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

   57 views

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

   55 views

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

   74 views

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

   68 views

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

   223 views

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

   39 views

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

   71 views

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

   80 views

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

   65 views

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

   52 views

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

   87 views

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

   64 views

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 via Large Deviations

   89 views

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

   90 views

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

   77 views

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


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