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Elchanan Mossel
Elchanan Mossel ( he, אלחנן מוסל) is a professor of mathematics at the Massachusetts Institute of Technology. His primary research fields are probability theory, combinatorics, and statistical inference. Research Mossel's research spans a number of topics across mathematics, statistics, economics, and computer science, including combinatorial statistics, discrete function inequalities, isoperimetry, game theory, social choice, computational complexity, and computational evolutionary biology. His work on discrete Fourier analysis and functions with low influence includes important contributions such as the proof of the " Majority is Stablest" conjecture, together with Ryan O’Donnell and Krzysztof Oleszkiewicz, and the proof of the optimality of the Goemans–Williamson MAX-CUT algorithm (assuming the Unique Games Conjecture), with Subhash Khot, Guy Kindler and Ryan O’Donnell. Mossel has worked on the reconstruction problem on trees. He connected it to Steel's con ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jerusalem
Jerusalem (; he, יְרוּשָׁלַיִם ; ar, القُدس ) (combining the Biblical and common usage Arabic names); grc, Ἱερουσαλήμ/Ἰεροσόλυμα, Hierousalḗm/Hierosóluma; hy, Երուսաղեմ, Erusałēm. is a city in Western Asia. Situated on a plateau in the Judaean Mountains between the Mediterranean Sea, Mediterranean and the Dead Sea, it is one of the List of oldest continuously inhabited cities, oldest cities in the world and is considered to be a holy city for the three major Abrahamic religions: Judaism, Christianity, and Islam. Both Israelis and Palestinians claim Jerusalem as their Capital city, capital, as Israel maintains its primary governmental institutions there and the State of Palestine ultimately foresees it as its seat of power. Because of this dispute, Status of Jerusalem, neither claim is widely recognized internationally. Throughout History of Jerusalem, its long history, Jerusalem has been destroyed at least twice, Sie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ryan O'Donnell (computer Scientist)
Ryan O'Donnell is a Canadian theoretical computer scientist and a professor at Carnegie Mellon University. He is known for his work on the analysis of Boolean functions and for authoring the textbook on this subject. He is also known for his work on computational learning theory, hardness of approximation, property testing, quantum computation and quantum information. O'Donnell completed his B.Sc. in Mathematics and Computer Science at the University of Toronto. He then completed his Ph.D. at the Massachusetts Institute of Technology (MIT) in 2003, advised by Madhu Sudan. Research O'Donnell proved that the Goemans–Williamson approximation algorithm for MAX-CUT is optimal, assuming the unique games conjecture. The proof follows from two papers, one in 2004 with Subhash Khot, Guy Kindler, and Elchanan Mossel which reduced this statement to proving the Majority Is Stablest conjecture in analysis of Boolean functions, and one in 2005 with Elchanan Mossel and Krzysztof ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
UCLA
The University of California, Los Angeles (UCLA) is a public land-grant research university in Los Angeles, California. UCLA's academic roots were established in 1881 as a teachers college then known as the southern branch of the California State Normal School (now San José State University). This school was absorbed with the official founding of UCLA as the Southern Branch of the University of California in 1919, making it the second-oldest of the 10-campus University of California system (after UC Berkeley). UCLA offers 337 undergraduate and graduate degree programs in a wide range of disciplines, enrolling about 31,600 undergraduate and 14,300 graduate and professional students. UCLA received 174,914 undergraduate applications for Fall 2022, including transfers, making the school the most applied-to university in the United States. The university is organized into the College of Letters and Science and 12 professional schools. Six of the schools offer undergraduate degre ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
MathSciNet
MathSciNet is a searchable online bibliographic database created by the American Mathematical Society in 1996. It contains all of the contents of the journal ''Mathematical Reviews'' (MR) since 1940 along with an extensive author database, links to other MR entries, citations, full journal entries, and links to original articles. It contains almost 3.6 million items and over 2.3 million links to original articles. Along with its parent publication ''Mathematical Reviews'', MathSciNet has become an essential tool for researchers in the mathematical sciences. Access to the database is by subscription only and is not generally available to individual researchers who are not affiliated with a larger subscribing institution. For the first 40 years of its existence, traditional typesetting was used to produce the Mathematical Reviews journal. Starting in 1980 bibliographic information and the reviews themselves were produced in both print and electronic form. This formed the basis of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Pennsylvania
The University of Pennsylvania (also known as Penn or UPenn) is a private research university in Philadelphia. It is the fourth-oldest institution of higher education in the United States and is ranked among the highest-regarded universities by numerous organizations and scholars. While the university dates its founding to 1740, it was created by Benjamin Franklin and other Philadelphia citizens in 1749. It is a member of the Ivy League. The university has four undergraduate schools as well as twelve graduate and professional schools. Schools enrolling undergraduates include the College of Arts and Sciences, the School of Engineering and Applied Science, the Wharton School, and the School of Nursing. Among its highly ranked graduate schools are its law school, whose first professor wrote the first draft of the United States Constitution, its medical school, the first in North America, and Wharton, the first collegiate business school. Penn's endowment is US$20.7 billio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Miller Research Fellows
The Miller Research Fellows program is the central program of the Adolph C. and Mary Sprague Miller Institute for Basic Research in Science on the University of California Berkeley campus. The program constitutes the support of Research Fellows - a group of the world’s most brilliant young scientists. Each year, eight to ten Miller Research Fellows are chosen from hundreds of nominations in all areas of science based on the promise of their scientific research. The Fellowships are three-year appointments, during which the young scientists launch their careers, being mentored by Berkeley’s faculty and making use of the facilities at the university. A few Fellows stay on as new Berkeley faculty. Most move on to contribute to faculty positions at other reputed institutions around the world. Other comparable programs are the Harvard Junior Fellows and the Junior Fellowship Program at the University of Cambridge. To date, there have been over 500 Miller Fellows from all areas of scie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Open University Of Israel
The Open University of Israel ( he, האוניברסיטה הפתוחה, ''Ha-Universita ha-Ptuha'') is a distance-education university in Israel. It is one of ten public universities in Israel recognized by the Council of Higher Education (CHE). The Open University is unique in that it does not require a matriculation certificate, psychometric exam, or other entrance exam for admission to undergraduate studies. Open University teaching methods are based primarily on distance learning technologies, with the option of face-to-face tutorial sessions. Campuses are located in Ra'anana, Tel Aviv, Jerusalem, Haifa, Beersheba, Givat Haviva, and Nazareth, in addition to approximately fifty study centers located throughout the country. Most students study remotely from their homes in Israel and around the world. As in other higher education institutions, graduation from the OUI is contingent upon successfully fulfilling degree requirements; English-language proficiency is also required. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Phylogenetic Trees
A phylogenetic tree (also phylogeny or evolutionary tree Felsenstein J. (2004). ''Inferring Phylogenies'' Sinauer Associates: Sunderland, MA.) is a branching diagram or a tree showing the evolutionary relationships among various biological species or other entities based upon similarities and differences in their physical or genetic characteristics. All life on Earth is part of a single phylogenetic tree, indicating common ancestry. In a ''rooted'' phylogenetic tree, each node with descendants represents the inferred most recent common ancestor of those descendants, and the edge lengths in some trees may be interpreted as time estimates. Each node is called a taxonomic unit. Internal nodes are generally called hypothetical taxonomic units, as they cannot be directly observed. Trees are useful in fields of biology such as bioinformatics, systematics, and phylogenetics. ''Unrooted'' trees illustrate only the relatedness of the leaf nodes and do not require the ancestral root to be ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Phase Transition
In chemistry, thermodynamics, and other related fields, a phase transition (or phase change) is the physical process of transition between one state of a medium and another. Commonly the term is used to refer to changes among the basic states of matter: solid, liquid, and gas, and in rare cases, plasma. A phase of a thermodynamic system and the states of matter have uniform physical properties. During a phase transition of a given medium, certain properties of the medium change as a result of the change of external conditions, such as temperature or pressure. This can be a discontinuous change; for example, a liquid may become gas upon heating to its boiling point, resulting in an abrupt change in volume. The identification of the external conditions at which a transformation occurs defines the phase transition point. Types of phase transition At the phase transition point for a substance, for instance the boiling point, the two phases involved - liquid and vapor, have identic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bethe Lattice
In statistical mechanics and mathematics, the Bethe lattice (also called a regular tree) is an infinite connected cycle-free graph where all vertices have the same number of neighbors. The Bethe lattice was introduced into the physics literature by Hans Bethe in 1935. In such a graph, each node is connected to ''z'' neighbors; the number ''z'' is called either the coordination number or the degree, depending on the field. Due to its distinctive topological structure, the statistical mechanics of lattice models on this graph are often easier to solve than on other lattices. The solutions are related to the often used Bethe approximation for these systems. Basic Properties When working with the Bethe lattice, it is often convenient to mark a given vertex as the root, to be used as a reference point when considering local properties of the graph. Sizes of Layers Once a vertex is marked as the root, we can group the other vertices into layers based on their distance from the ro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ising Model
The Ising model () (or Lenz-Ising model or Ising-Lenz model), named after the physicists Ernst Ising and Wilhelm Lenz, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic dipole moments of atomic "spins" that can be in one of two states (+1 or −1). The spins are arranged in a graph, usually a lattice (where the local structure repeats periodically in all directions), allowing each spin to interact with its neighbors. Neighboring spins that agree have a lower energy than those that disagree; the system tends to the lowest energy but heat disturbs this tendency, thus creating the possibility of different structural phases. The model allows the identification of phase transitions as a simplified model of reality. The two-dimensional square-lattice Ising model is one of the simplest statistical models to show a phase transition. The Ising model was invented by the physicist , who gave it as a prob ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Constantinos Daskalakis
Constantinos Daskalakis (; born 29 April 1981) is a Greek theoretical computer scientist. He is a professor at MIT's Electrical Engineering and Computer Science department and a member of the MIT Computer Science and Artificial Intelligence Laboratory. He was awarded the Rolf Nevanlinna Prize and the Grace Murray Hopper Award in 2018. Early life and education Daskalakis was born in Athens on 29 April 1981. His grandparents originated from Crete, where he summered as a child. He has a younger brother, Nikolaos. When Daskalakis was in third grade, his father bought an Amstrad CPC, which Daskalakis stayed up all night attempting to learn how it worked.A Poet of Computation Who Uncovers Distant Truths ''Quanta Magazine'' He attended [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
