In mathematics, the random Fibonacci sequence is a stochastic analogue of the Fibonacci sequence defined by the recurrence relation , where the signs + or − are chosen at random with equal probability , independently for different . By a theorem of Harry Kesten and Hillel Furstenberg, random recurrent sequences of this kind grow at a certain exponential rate, but it is difficult to compute the rate explicitly. In 1999, Divakar Viswanath showed that the growth rate of the random Fibonacci sequence is equal to 1.1319882487943..., a mathematical constant that was later named Viswanath's constant.
Romesh C. Batra is a University Distinguished Professor and Clifton C. Garvin Professor of Engineering Science and Mechanics at Virginia Polytechnic Institute and State University, Blacksburg, Virginia. He was born in Village Dherowal, Punjab, India. His family migrated from Dherowal to Shahabad Markanda, Haryana, India after India became an independent country. Dr. Batra has authored the book, Elements of Continuum Mechanics, AIAA Educational Series. His research group has published in reputable refereed and widely read journals more than 460 papers of which about 40 are single-authored and nearly 320 have two authors; these are documented on the website: http://www.beam.vt.edu/batra.
Richard Alfred Tapia is an American mathematician and University Professor at Rice University in Houston, Texas, the university's highest academic title. In 2011, President Obama awarded Tapia the National Medal of Science. He is currently the Maxfield and Oshman Professor of Engineering; Associate Director of Graduate Studies, Office of Research and Graduate Studies; and Director of the Center for Excellence and Equity in Education at Rice University.
In mathematics, the pseudospectrum of an operator is a set containing the spectrum of the operator and the numbers that are "almost" eigenvalues. Knowledge of the pseudospectrum can be particularly useful for understanding non-normal operators and their eigenfunctions.
Vahid Tarokh is an Iranian–American electrical engineer, mathematician, computer scientist, and professor. Since 2018, he has served as a Professor of Electrical and Computer Engineering, a Professor of Mathematics, and the Rhodes Family Professor of Electrical and Computer Engineering at Duke University. From 2019 to 2021, he was a Microsoft Data Science Investigator at Microsoft Innovation Hub at Duke University. Tarokh works with complex datasets and uses machine learning algorithms to predict catastrophic events.
Ahmet Turgay Uzer is a Turkish-born American theoretical physicist and nature photographer.
Gene Howard Golub, was an American numerical analyst who taught at Stanford University as Fletcher Jones Professor of Computer Science and held a courtesy appointment in electrical engineering.
Lloyd Nicholas Trefethen is an American mathematician, professor of numerical analysis and head of the Numerical Analysis Group at the Mathematical Institute, University of Oxford.
Harold Widom was an American mathematician best known for his contributions to operator theory and random matrices. He was appointed to the Department of Mathematics at the University of California, Santa Cruz in 1968 and became professor emeritus in 1994.
Mark Borodovsky is a Regents' Professor at the Join Wallace H. Coulter Department of Biomedical Engineering of Georgia Institute of Technology and Emory University and Director of the Center for Bioinformatics and Computational Genomics at Georgia Tech. He has also been a Chair of the Department of Bioinformatics at the Moscow Institute of Physics and Technology in Moscow, Russia from 2012 to 2022.
Piotr Indyk is Thomas D. and Virginia W. Cabot Professor in the Theory of Computation Group at the Computer Science and Artificial Intelligence Laboratory, Massachusetts Institute of Technology.
Chebfun is a free/open-source software system written in MATLAB for numerical computation with functions of a real variable. It is based on the idea of overloading MATLAB's commands for vectors and matrices to analogous commands for functions and operators. Thus, for example, whereas the SUM command in MATLAB adds up the elements of a vector, the SUM command in Chebfun evaluates a definite integral. Similarly the backslash command in MATLAB becomes a Chebfun command for solving differential equations.
The College of Science at Virginia Tech contains academic programs in eight departments: biology, chemistry, economics, geosciences, mathematics, physics, psychology, and statistics, as well as programs in the School of Neuroscience, the Academy of Integrated Science, and founded in 2020, an Academy of Data Science. For the 2018-209 academic year, the College of Science consisted of 419 faculty members, and 4,305 students, and 600 graduate students The college was established in July 2003 after university restructuring split the College of Arts and Sciences, established in 1963, into two distinct colleges. Lay Nam Chang served as founding dean of the College of Science from 2003 until 2016. In 2016, Sally C. Morton was named dean of the College of Science. Morton served in that role until January 2021, when she departed for Arizona State University and Ronald D. Fricker—senior associate dean and professor in the Department of Statistics—was named interim dean of the College. In February 2022, Kevin T. Pitts was named the third official dean of the College of Science.
Alan Stuart Edelman is an American mathematician and computer scientist. He is a professor of applied mathematics at the Massachusetts Institute of Technology (MIT) and a Principal Investigator at the MIT Computer Science and Artificial Intelligence Laboratory (CSAIL) where he leads a group in applied computing. In 2004, he founded a business called Interactive Supercomputing which was later acquired by Microsoft. Edelman is a fellow of American Mathematical Society (AMS), Society for Industrial and Applied Mathematics (SIAM), Institute of Electrical and Electronics Engineers (IEEE), and Association for Computing Machinery (ACM), for his contributions in numerical linear algebra, computational science, parallel computing, and random matrix theory. He is one of the creators of the technical programming language Julia.
John J. Tyson is an American systems biologist and mathematical biologist who serves as University Distinguished Professor of Biology at Virginia Tech, and is the former president of the Society for Mathematical Biology. He is known for his research on biochemical switches in the cell cycle, dynamics of biological networks and on excitable media.
Evgeny Tyrtyshnikov is a Russian mathematician, Dr.Sc., Professor, Academician of the Russian Academy of Sciences, a professor at the Faculty of Computer Science at the Moscow State University.
Guorong Wang is a Chinese mathematician, working in the area of generalized inverses of matrices. He is a Professor and first Dean of Mathematics & Science College of Shanghai Normal University, Shanghai, China.
Beresford Neill Parlett is an English applied mathematician, specializing in numerical analysis and scientific computation.
Anders C. Hansen is a Norwegian mathematician, who is currently a Professor of Mathematics at University of Cambridge, where he is the head of the Applied Functional and Harmonic Analysis group, and also Professor II at the University of Oslo. He works in functional analysis, harmonic analysis (applied), foundations of mathematics (computational), data science and numerical analysis.
In matrix analysis, Kreiss matrix theorem relates the so-called Kreiss constant of a matrix with the power iterates of this matrix. It was originally introduced by Heinz-Otto Kreiss to analyze the stability of finite difference methods for partial difference equations.
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