现在关于概率论的发言比其他任何领域都要多,因为人们已经认为它是数学研究中重要的一部分。我在大学里学过测量理论(measure theory),它是概率论基础的一部分,但我转做概率论研究是受到了同事的影响。 实际上,我从来没有在学校里学过概率论是一个巨大的优势。我因此对它有了不同的视角,这也是我在这个领域取得成功...
We continue study of the connection of classical limit of integrable asymptotically free field theory to the finite-gap solutions of classical integrable equations. In the limit the momenta of particles turn into the moduli of Riemann surfaces while their isotopic structure is related to the period ...
theory an introduction vol1 1:03:45 Yuval Peres Coloring a graph arising from a lacunary sequence 59:15 Vojtěch Rödl On two Ramsey type problems for Kt+1-free graphs 47:07 Vilmos Totik Erdős on polynomials And Ben Green The sum-free set constant is ⅓ 1:45:31 Tomasz Łuczak ...
Poincare invariance of a quantum field theory is a very nontrivial statement that is not easy to get. Thus as long as no proof is available that a given construction is Poincare invariant (by giving the interacting generators with P_0 and verifying that they satisfy the Lie algebra of Poinca...
内容提示: Why Does Quantum Field Theory In Curved Spacetime Make Sense?And What Happens To The Algebra of Observables In The Thermodynamic Limit?Edward WittenInstitute for Advanced StudyEinstein Drive, Princeton, NJ 08540 USAAbstractThis article aims to explain some of the basic facts about the ...
Quantum entanglement is a phenomenon in which the quantum states of two or more objects become correlated, meaning that the state of one object can affect the state of the other(s) even if the objects are separated by large distances. This occurs because, according to quantum theory, ...
What is a quantum vacuum? Anne Baring A True Vacuum? One may have heard that a vacuum is nothing—the absence of matter. Space is typically called a vacuum, but even it has minute material in the void that makes it a non-but-near-vacuum as a whole. On Earth, we can isolate a ...
In theory, the strongest cryptographic schemes are impossible to break, even with the most powerful computers in the world with unlimited computing power. Ready to see UpGuard in action? Free trial Tags: Cybersecurity Author Kyle Chin Reviewed by Kaushik Sen Join 27,000+ cybersecurity newsletter...
Classical physics theory cannot explain this phenomenon In 1905 the young scientist Einstein solved the photoelectric effect problem with 'quantum' He proposed the hypothesis of 'light quanta' believing that the energy of light radiation itself
Is general relativity proven? General relativity has passed all the experimental tests so far, but its applicability is expected to break down when [the] effects of quantum mechanics (the theory of the very small particles) should become dominant. ...