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Turbulence is an important problem of science and engineering. The flow arising from Navier-Stokes equations at large Reynolds number is always turbulent. Physicists, mathematicians, and engineers have been engaged in modelling turbulence for quite some time, but the problem is unfinished despite considerable progress. Buoyed by the success of Quantum Field Theory (QFT), which is one of the most successful theories in high energy and condensed matter physics, many researchers have applied it to model turbulence. In addition, turbulent flows exhibit universal power laws, similar to those in critical phenomena. There have been serious efforts to develop a theory for these properties faithfully (i.e. without approximations) from the Navier-Stokes equations. Researchers have also attempted to relate turbulence to conformal field theory. The slowly varying black-hole solutions of Einstein equations with negative cosmological constant have been mapped to solutions of relativistic fluid equat...

Turbulence is an important problem of science and engineering. The flow arising from Navier-Stokes equations at large Reynolds number is always turbulent. Physicists, mathematicians, and engineers have been engaged in modelling turbulence for quite some time, but the problem is unfinished despite considerable progress. Buoyed by the success of Quantum Field Theory (QFT), which is one of the most successful theories in high energy and condensed matter physics, many researchers have applied it to model turbulence. In addition, turbulent flows exhibit universal power laws, similar to those in critical phenomena. There have been serious efforts to develop a theory for these properties faithfully (i.e. without approximations) from the Navier-Stokes equations. Researchers have also attempted to relate turbulence to conformal field theory. The slowly varying black-hole solutions of Einstein equations with negative cosmological constant have been mapped to solutions of relativistic fluid equat...

Cells are the basic units of all living matter. They harness energy flows to drive biological functions. Most bio-chemical networks involved in energy transduction are nowadays well-characterized. However, the energetic costs and constraints for specific cellular processes remain largely unknown. In particular, what are the energy budgets of cells? What are the constraints and limits energy flows impose on cellular processes? Do cells operate near these limits, and, if so, how do energetic constraints impact cellular functions? Physics has provided poweerful tools to study nonequilibrium systems and to define these physical limits, but applying these tools to cell biology remains a challenge. Physical bioenergetics resides at the interface of nonequilibrium physics, energy metabolism, and cell biology. It seeks to understand how much energy cells use, how they partition this energy between different cellular processes, and the associated energetic constraints. In this School, we shall ...

Cells are the basic units of all living matter. They harness energy flows to drive biological functions. Most bio-chemical networks involved in energy transduction are nowadays well-characterized. However, the energetic costs and constraints for specific cellular processes remain largely unknown. In particular, what are the energy budgets of cells? What are the constraints and limits energy flows impose on cellular processes? Do cells operate near these limits, and, if so, how do energetic constraints impact cellular functions? Physics has provided poweerful tools to study nonequilibrium systems and to define these physical limits, but applying these tools to cell biology remains a challenge. Physical bioenergetics resides at the interface of nonequilibrium physics, energy metabolism, and cell biology. It seeks to understand how much energy cells use, how they partition this energy between different cellular processes, and the associated energetic constraints. In this School, we shall ...

India has a rich and long heritage in probability theory and stochastic Processes. Indian researchers, working both within India and abroad, are making quality contribution to the subject individually as well as collaboratively. To sustain this effort it is imperative to expose the young research scholars of India to the latest techniques and advances in the subject as well as increase the interaction between researchers in India. In order to achieve this and create collaborative probability groups within India, we believe that there is a need to have annually organized workshops.Towards this, Lectures on Probability and Stochastic Processes, an annual workshop was started in 2006. It is designed to have two mini-courses on topics of recent interest given by experts in the respective areas. These courses are expected to expose the participants to the important problems being considered in the current literature, as well as the available techniques to work with them. A large audience, w...

India has a rich and long heritage in probability theory and stochastic Processes. Indian researchers, working both within India and abroad, are making quality contribution to the subject individually as well as collaboratively. To sustain this effort it is imperative to expose the young research scholars of India to the latest techniques and advances in the subject as well as increase the interaction between researchers in India. In order to achieve this and create collaborative probability groups within India, we believe that there is a need to have annually organized workshops.Towards this, Lectures on Probability and Stochastic Processes, an annual workshop was started in 2006. It is designed to have two mini-courses on topics of recent interest given by experts in the respective areas. These courses are expected to expose the participants to the important problems being considered in the current literature, as well as the available techniques to work with them. A large audience, w...