FDE2
4 January 2022 to 29 April 2022
Modelling based on differential equations of fractional order and related heavy-tailed probability distributions has recently witnessed a surge of interest due to their ability to model complex phenomena. Applications include modelling contamination of groundwater flow, the electrical dynamics of the heart and the design of new materials. Fractional differential equations capture effects going well beyond the range tractable by conventional concepts and tools, and it is increasingly recognised that this framework is on the way of becoming a new paradigm in scientific modelling. This programme sets out to investigate the multiple facets of space-time fractional dynamics and make significant progress in the description and deep understanding of this new phenomenology.
A common feature of the problems the programme aims to address is space-time non-locality. In a mathematical formulation, spatial non-locality means that the evaluation of the action of an operator on a function at a particular point in space generally depends also on its effect in far-away positions. A typical example is the fractional Laplacian, however, we will consider a whole range of possible non-local operators, which generally may have different qualitative behaviours. Temporal non-locality means that the future evolution depends on its past, which is described in terms of fractional (such as Caputo) time-derivatives.
A particular aspect in the attempt to mathematically capture these problems is that several complementary approaches are at hand. A natural framework is offered by integro-differential equations featuring integral kernels in space and/or time variables, and one path to follow is then an analysis in terms of singular integrals and related objects. Another possibility is a more operator-based analysis emphasising spectral properties of pseudo-differential operators. A third way is a probabilistic formulation in terms of Feynman-Kac-type representations, involving random processes with jump discontinuities. One of the main aims of the programme is to explore the interaction of these multiple approaches, and develop a common framework and new methodology.
The programme will focus on the following themes within three workshops: (1) Deterministic and Stochastic Fractional Differential Equations and Jump Processes, (2) Fractional Kinetics, Hydrodynamic Limits and Fractals, (3) Optimal Control in Fractional Dynamics. Within the final two workshops there will also be sessions addressing applications and computational aspects of fractional differential equations. These sessions will cover themes such as physics (transport phenomena, quantum optics), chemistry and biology (chemotaxis, population dynamics/foraging), environmental sciences (groundwater contamination, fractal solute transport), and technology (image reconstruction and signal analysis, financial engineering).
The programme intends to offer to scientists working broadly in the interdisciplinary area of fractional calculus, non-local equations, random processes with jumps, and their applications, a platform to interact and communicate their research results in a vibrant research environment. To strengthen intra- and inter-disciplinary cross-fertilisation, these topics will be organised in a way to combine key subjects of research with a double focus, including both theoretical aspects with more applied/computational interests. Participants to the programme and the workshops are expected from six continents, including a significant proportion of early career scientists. We also encourage PhD students/post-doctoral researchers to attend some of the proceeds or outreach activities.
Click here to download the programme's final scientific report
Title | Year | Programme |
---|---|---|
A Varadhan estimate for big order differential generatorsAuthors: Remi Leandre |
2021 | FDE2 |
21 February 2022 to 25 February 2022
21 March 2022 to 25 March 2022
19 April 2022 to 22 April 2022
Tuesday 25th January 2022 | |||
---|---|---|---|
09:00 to 09:30 |
Eulalia Nualart Universitat Pompeu Fabra |
Room 2 | |
09:30 to 10:00 |
Vassili Kolokoltsov University of Warwick |
Room 2 | |
10:00 to 10:30 |
Michael Roeckner Universität Bielefeld |
Room 2 | |
Monday 31st January 2022 | |||
---|---|---|---|
14:00 to 15:00 |
Arran Fernandez Eastern Mediterranean University |
Room 2 | |
18:00 to 19:00 |
George Anastassiou University of Memphis |
Room 2 | |
Monday 7th February 2022 | |||
---|---|---|---|
14:00 to 15:00 |
Rico Zacher Universität Ulm |
Room 2 | |
18:00 to 19:00 |
Eli Barkai Bar-Ilan University |
Room 2 | |
Monday 14th February 2022 | |||
---|---|---|---|
09:00 to 10:00 |
Zdzislaw Brzezniak University of York |
Room 2 | |
14:00 to 15:00 |
Igor Podlubny Technical University of Kosice |
Room 2 | |
17:00 to 18:00 |
Laura Sacerdote University of Torino |
Room 2 | |
Monday 28th February 2022 | |||
---|---|---|---|
09:00 to 10:00 |
Elina Shishkina Voronezh State University |
Room 2 | |
14:00 to 15:00 |
Stanislav Molchanov University of North Carolina |
Room 2 | |
17:15 to 18:15 |
Francesco Mainardi University of Bologna |
Room 2 | |
18:15 to 19:15 |
George Anastassiou University of Memphis |
Room 2 | |
Wednesday 2nd March 2022 | |||
---|---|---|---|
11:00 to 12:00 |
Avi Mayorcas University of Cambridge |
Room 2 |
Monday 7th March 2022 | |||
---|---|---|---|
10:00 to 11:00 |
Mladen Savov Sofia University St. Kliment Ohridski; Bulgarian Academy of Sciences |
Room 2 | |
14:00 to 15:00 |
Kai Diethelm University of Applied Sciences Würzburg-Schweinfurt |
Room 2 | |
18:00 to 19:00 |
George Anastassiou University of Memphis |
Room 2 | |
Monday 14th March 2022 | |||
---|---|---|---|
10:00 to 11:00 |
Xiaochuan Yang Brunel University |
Room 2 | |
14:00 to 15:00 |
Bruno Toaldo Università degli Studi di Torino |
Room 2 | |
17:15 to 18:15 |
Giacomo Ascione Università degli Studi di Napoli Federico II |
Room 2 | |
Wednesday 16th March 2022 | |||
---|---|---|---|
11:00 to 12:00 |
Jack Coughlin University of Washington |
Room 2 | |
13:00 to 14:00 |
Elizabeth Carlson University of Victoria |
Room 2 | |
Monday 28th March 2022 | |||
---|---|---|---|
09:00 to 10:00 |
Blas M Vinagre Universidad de Extremadura |
Room 2 | |
10:00 to 11:00 |
Boris Baeumer University of Otago |
Room 2 | |
14:00 to 15:00 |
Yuliya Mishura Taras Shevchenko National University of Kyiv |
Room 2 | |
17:15 to 18:15 |
Enrico Scalas University of Sussex |
Room 2 | |
Monday 4th April 2022 | |||
---|---|---|---|
10:00 to 11:00 |
Blas M Vinagre Universidad de Extremadura |
Room 2 | |
14:00 to 15:00 |
Maria Dolores Ruiz-Medina Universidad de Granada |
Room 2 | |
17:15 to 18:15 |
Mark Kelbert Higher School of Economics, Moscow; Swansea University |
Room 2 | |
Tuesday 5th April 2022 | |||
---|---|---|---|
16:00 to 17:00 |
Stanislav Molchanov University of North Carolina |
Room 1 | |
Thursday 7th April 2022 | |||
---|---|---|---|
11:00 to 12:30 |
Stanislav Molchanov University of North Carolina |
Room 2 | |
Monday 11th April 2022 | |||
---|---|---|---|
09:00 to 10:00 |
Arran Fernandez Eastern Mediterranean University |
Room 2 | |
10:00 to 11:00 |
Vanja Wagner University of Zagreb |
Room 2 | |
11:00 to 12:30 |
Stanislav Molchanov University of North Carolina |
Room 1 | |
14:00 to 15:00 |
Remi Leandre Université de Franche-Comté |
Room 2 | |
Tuesday 12th April 2022 | |||
---|---|---|---|
11:00 to 12:30 |
Stanislav Molchanov University of North Carolina |
Room 1 | |
Wednesday 13th April 2022 | |||
---|---|---|---|
11:00 to 12:00 |
Xiaochuan Yang Brunel University |
Room 2 | |
13:00 to 14:00 |
Pavan Pranjivan Mehta Brown University |
Room 2 | |
Thursday 14th April 2022 | |||
---|---|---|---|
11:00 to 12:30 |
Stanislav Molchanov University of North Carolina |
Room 1 | |
Monday 25th April 2022 | |||
---|---|---|---|
09:30 to 10:30 |
Atsuhide Ishida Tokyo University of Science |
Room 2 | |
11:00 to 12:30 |
Stanislav Molchanov University of North Carolina |
Room 2 | |
14:00 to 15:00 |
Jinqiao Duan Illinois Institute of Technology |
Room 2 | |
17:15 to 18:15 |
Diana Stan Universidad de Cantabria |
Room 2 | |
Tuesday 26th April 2022 | |||
---|---|---|---|
11:00 to 12:30 |
Stanislav Molchanov University of North Carolina |
Room 2 |
Wednesday 27th April 2022 | |||
---|---|---|---|
16:00 to 17:00 |
Luisa Beghin University of Rome La Sapienza |
Room 1 | |
Wednesday 4th May 2022 | |||
---|---|---|---|
11:00 to 12:00 |
William Golding University of Texas at Austin |
Room 2 | |
13:00 to 14:00 |
Antoine Remond-Tiedrez University of Cambridge |
Room 2 | |
Wednesday 1st June 2022 | |||
---|---|---|---|
11:00 to 12:00 | Room 2 | ||
13:00 to 14:00 |
Nonlocal quadratic forms with visibility constraint (joint work with Moritz Kassmann) |
Room 2 |
Wednesday 8th June 2022 | |||
---|---|---|---|
11:00 to 12:00 |
Jo Evans University of Warwick |
Room 2 | |
13:00 to 14:00 |
Akhilesh Kumar Verma University of Warwick |
Room 2 |
Wednesday 15th June 2022 | |||
---|---|---|---|
11:00 to 12:00 |
Daniel Boutros University of Cambridge |
Room 2 | |
13:00 to 14:00 |
Arran Fernandez Eastern Mediterranean University |
Room 2 |
Wednesday 22nd June 2022 | |||
---|---|---|---|
11:00 to 12:00 |
Santiago Benavides University of Warwick; Massachusetts Institute of Technology |
Room 2 | |
13:00 to 14:00 |
Oscar de Wit University of Cambridge |
Room 2 |
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