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Isaac Newton Institute for Mathematical Sciences (INI)

Simulation,    Systembiologie und mathematische Biologie

Isaac Newton Institute for Mathematical Sciences (INI)

The purpose of this workshop is to bring together scientists interested in different areas of complex movement in a biological context, from field research, to data analysis, to theoretical modelling. In particular, the focus will be on complex movement beyond the Markov property, such as memory-dependent animal foraging processes, spatial avoidance due to past deposition of animal scent or resource depletion, and directed motion in neutrophils. Despite its ubiquity, the mathematical difficulty in dealing with history dependence has hampered the study of non-Markov movement processes. Past empirical limitations are also responsible for the lack of a general theory to describe history dependent movement processes, as detection of features that would distinguish between Markov and non-Markov model predictions were not attainable. Currently, movement data may reach unprecedented resolution, and there is a renewed interest in developing non-Markov movement models, exemplified by recent theoretical studies to devise general prescriptions to simulate non-Markov stochastic processes.

Simulation,    Systembiologie und mathematische Biologie

Isaac Newton Institute for Mathematical Sciences

The workshop will foster dialogue and interaction among oceanographers, plasma physicists, geophysical and astrophysical fluid dynamicists, soft-condensed-matter physicists, applied mathematicians and biophysicists. The central aim of the workshop is cross-fertilization, formation of new collaborations, and progress toward collective understanding.

Anti-diffusive dynamics: from sub-cellular to astrophysical scales

Plasmaphysik, Kernfusion,    Mathematische Physik

Isaac Newton Institute for Mathematical Sciences

This workshop will focus on staircases and layering in magnetized plasmas, with the aim of promoting progress in mathematical modelling by drawing on theory, simulations, and phenomenology. Topics will include edge and core transport barriers, staircases, avalanching and perturbative experiments, reduced models and their validation. The crucial role of the boundary and the boundary conditions will be emphasized. The workshop will explore approaches to profile and confinement optimization, and discuss future research directions, including approaches to ignition, energetic particle effects and the interplay of electron and ion scales.

Anti-diffusive dynamics: from sub-cellular to astrophysical scales

Plasmaphysik, Kernfusion,    Mathematische Physik

Isaac Newton Institute for Mathematical Sciences

Anti-diffusive phenomena are the remarkable processes whereby up-gradient transport leads to large-scale structure formation. Such self-organization can occur through coarsening, coalescence, a flux between different scales, or a combination of the above. It is particularly striking in systems which are chaotic or turbulent, where there is no known organizing principle such as minimization of energy or a long-wave instability. From the jets on Jupiter to sand ripples on dunes to drop coalescence, large-scale formation can occur in systems of very different scale and physical origin, including oceanographic and atmospheric flows, magnetically-confined plasmas, and active and multiphase fluids. Despite the ubiquity of the phenomena, many open questions remain: are there universal mechanisms underlying the formation and sustainment of large-scale structures, shared by these systems? Is there a common mathematical characterization? What determines the scale to which the structures grow and their resulting shape? What is the feedback between chaotic fluctuations and the large-scale structure? How do bifurcations between different large-scale structures occur in chaotic systems? How are such transitions affected by internal and external perturbations? If the system is bi-stable, are there universal transition paths in such self-organizing systems? The aim of the workshop is to bring together experts from different fields, working on related phenomena from different perspectives, to shed light on these questions.

Anti-diffusive dynamics: from sub-cellular to astrophysical scales

ICMS - International Centre for Mathematical Sciences

This workshop will gather researchers from the intersecting fields of inverse problems, uncertainty quantification, data analytics, machine learning, and related areas to discuss novel theory and new methods for big data challenges. A focused multifaceted research group gathered at one location is an excellent opportunity for established and early career researchers. The aim of this workshop is to foster a diverse, open, and friendly environment to advance this field, open new directions, and to stimulate new collaboration.

Informations & Wissensmanagement, Big Data Computing,    Wissenschaftliches Rechnen und Datenwissenschaft

Isaac Newton Institute for Mathematical Sciences (INI)

Our workshop on Climate Applications of Layering will bring together specialists in theory, numerical modelling, laboratory experiments and observations to address questions including how do layers and interfaces form in various settings, what factors control the strength of the interface between layers, what factors result in the erosion of the interface, and how strong must an interface be to resist being eroded?

Computerphysik und Numerische Simulation,    Meteorologie und Klimaveränderung

Isaac Newton Institute for Mathematical Sciences

Our workshop on Anti-Diffusion in Multiphase and Active Flows will bring together specialists in theory, numerical simulations, and experiments to address questions including: Can we draw quantitative connections between the interfacial properties of turbulent multi-phase fluids and those of active structured fluids that can form phases with orientational order — both polar and nematic — and are important to biological applications? What are the roles of active forces and interface anchoring in renormalizing the interfacial tension and driving coarsening kinetics? Can we identify generic classes of extended systems that organize in nonequilibrium statistically steady states, with both spatial and temporal structure? How can we systematize the study of the statistical properties of particles and fields in multi-phase and active-fluid turbulence?

Anti-diffusive dynamics: from sub-cellular to astrophysical scales