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A thermodynamic theory of granular material endures
http://physicstoday.scitation.org/doi/10.1063/PT.3.3682
http://physicstoday.scitation.org/doi/10.1063/PT.3.3682
Forwarded from TehranMathHouse
سومین همایش دانشجویی
ریاضیات سرطان
پنجشنبه ۳۰ شهریور ۱۳۹۶ - ۹:۳۰ تا ۱۳:۳۰
کسب اطلاعات بیشتر و ثبتنام:
https://goo.gl/8hSRnQ
#اتاق_دانشجو #همایش_دانشجویی
@tehranmathhouse
ریاضیات سرطان
پنجشنبه ۳۰ شهریور ۱۳۹۶ - ۹:۳۰ تا ۱۳:۳۰
کسب اطلاعات بیشتر و ثبتنام:
https://goo.gl/8hSRnQ
#اتاق_دانشجو #همایش_دانشجویی
@tehranmathhouse
💡 Paul Davis gives a nice summary of the many real-life applications of control theory
https://sinews.siam.org/Details-Page/mathematical-challenges-of-controlling-large-scale-complex-systems
https://sinews.siam.org/Details-Page/mathematical-challenges-of-controlling-large-scale-complex-systems
Society for Industrial and Applied Mathematics
Mathematical Challenges of Controlling Large-scale Complex Systems | SIAM
An airplane’s environmental control system is a complex assembly of components having a broad remit.
💲 Condensed matter theory needs you Perimeter ! Join our new #quantum matter initiative.
#Faculty
Apply today:
http://www.perimeterinstitute.ca/faculty-positions-condensed-matter-theory
#Faculty
Apply today:
http://www.perimeterinstitute.ca/faculty-positions-condensed-matter-theory
⭕️Positions available.
University of British Columbia Murphy lab: PDF and Graduate students wanted, automated in vivo imaging and optogenetics in mouse cortex. http://www.neuroscience.ubc.ca/faculty/murphy_jobs.html
University of British Columbia Murphy lab: PDF and Graduate students wanted, automated in vivo imaging and optogenetics in mouse cortex. http://www.neuroscience.ubc.ca/faculty/murphy_jobs.html
🤷♂ Summary
Nonlinear dynamics--or chaos theory, as it is commonly called--has been studied for more than a century. But as Stark and Hardy explain in their Perspective, chaos has only recently become useful in applications such as microwave ovens, production lines, and biomedicine. The authors chart the history of nonlinear dynamics from the 1960s and argue that the recent progress with practical problems is due to a sea change in the field that led to a synergy between hypothesis-driven and data-driven approaches.
http://science.sciencemag.org/content/301/5637/1192
Nonlinear dynamics--or chaos theory, as it is commonly called--has been studied for more than a century. But as Stark and Hardy explain in their Perspective, chaos has only recently become useful in applications such as microwave ovens, production lines, and biomedicine. The authors chart the history of nonlinear dynamics from the 1960s and argue that the recent progress with practical problems is due to a sea change in the field that led to a synergy between hypothesis-driven and data-driven approaches.
http://science.sciencemag.org/content/301/5637/1192
Science
Chaos: Useful at Last?
Nonlinear dynamics--or chaos theory, as it is commonly called--has been studied for more than a century. But as [Stark and Hardy][1] explain in their Perspective, chaos has only recently become useful in applications such as microwave ovens, production lines…
#سمینارهای_هفتگی گروه سیستمهای پیچیده و علم شبکه دانشگاه شهید بهشتی
🔹شنبه، ۰۱ مهرماه، ساعت ۴:۳۰ - کلاس ۴ دانشکده فیزیک دانشگاه شهید بهشتی
@carimi
🔹شنبه، ۰۱ مهرماه، ساعت ۴:۳۰ - کلاس ۴ دانشکده فیزیک دانشگاه شهید بهشتی
@carimi
💲 I'm looking to take 1-2 PhD students in Fall 2018. Please pass on to those interested in social & behavioral neuro. https://t.co/oPoOvSxUUI
⚡️ "Random Walks" Tutorial
Lead instructor: Sid Redner
🔗 https://www.complexityexplorer.org/tutorials/46-random-walks
🔹 Syllabus
Introduction
Root Mean Square Displacement
Role of the Spatial Dimension
Probability Distribution and Diffusion Equation
Central Limit Theorem
First Passage Phenomena
Elementary Applications
📌 About the Tutorial:
The goal of this tutorial is to outline some elementary, but beautiful aspects of random walks. Random walks are ubiquitous in nature. They naturally arise in describing the motion of microscopic particles, such as bacteria or pollen grains, whose motion is governed by being buffeted by collisions with the molecules in a surrounding fluid. Random walks also control many type of fluctuation phenomena that arise in finance.
The tutorial begins by presenting examples of random walks in nature and summarizing important classes of random walks. We'll then give a quantitative discussion of basic properties of random walks. We'll show that the root mean-square displacement of a random walk grows as the square-root of the elapsed time. Next, we will determine the underlying probability distribution of a random walk. In the long-time limit, this distribution is independent of almost all microscopic details of the random-walk motion. This universality is embodied by the central-limit theorem. In addition to presenting this theorem, we'll also discuss the anomalous features that arise when the very mild conditions that underlie the central-limit theorem are not satisfied. Finally, we will show how to recover the diffusion equation as the continuum limit of the evolution equation for the probability distribution of a random walk.
We will then present some basic first-passage properties of random walks, which address the following simple question: does a random walk reach a specified point for the first time? We will determine the first-passage properties in a finite interval; specifically, how long does it take for a random walk to leave an interval of length L, and what is the probability to leave either end of the interval as a function of the starting location. Finally, we'll discus the application of first-passage ideas to reaction-rate theory, which defines how quickly diffusion-controlled chemical reactions can occur.
Note that Complexity Explorer tutorials are meant to introduce students to various important techniques and to provide illustrations of their application in complex systems. A given tutorial is not meant to offer complete coverage of its topic or substitute for an entire course on that topic.
This tutorial is designed for more advanced math students. Math prerequisites for this course are an understanding of calculus, basic probability, and Fourier transforms.
Lead instructor: Sid Redner
🔗 https://www.complexityexplorer.org/tutorials/46-random-walks
🔹 Syllabus
Introduction
Root Mean Square Displacement
Role of the Spatial Dimension
Probability Distribution and Diffusion Equation
Central Limit Theorem
First Passage Phenomena
Elementary Applications
📌 About the Tutorial:
The goal of this tutorial is to outline some elementary, but beautiful aspects of random walks. Random walks are ubiquitous in nature. They naturally arise in describing the motion of microscopic particles, such as bacteria or pollen grains, whose motion is governed by being buffeted by collisions with the molecules in a surrounding fluid. Random walks also control many type of fluctuation phenomena that arise in finance.
The tutorial begins by presenting examples of random walks in nature and summarizing important classes of random walks. We'll then give a quantitative discussion of basic properties of random walks. We'll show that the root mean-square displacement of a random walk grows as the square-root of the elapsed time. Next, we will determine the underlying probability distribution of a random walk. In the long-time limit, this distribution is independent of almost all microscopic details of the random-walk motion. This universality is embodied by the central-limit theorem. In addition to presenting this theorem, we'll also discuss the anomalous features that arise when the very mild conditions that underlie the central-limit theorem are not satisfied. Finally, we will show how to recover the diffusion equation as the continuum limit of the evolution equation for the probability distribution of a random walk.
We will then present some basic first-passage properties of random walks, which address the following simple question: does a random walk reach a specified point for the first time? We will determine the first-passage properties in a finite interval; specifically, how long does it take for a random walk to leave an interval of length L, and what is the probability to leave either end of the interval as a function of the starting location. Finally, we'll discus the application of first-passage ideas to reaction-rate theory, which defines how quickly diffusion-controlled chemical reactions can occur.
Note that Complexity Explorer tutorials are meant to introduce students to various important techniques and to provide illustrations of their application in complex systems. A given tutorial is not meant to offer complete coverage of its topic or substitute for an entire course on that topic.
This tutorial is designed for more advanced math students. Math prerequisites for this course are an understanding of calculus, basic probability, and Fourier transforms.