List of Israeli inventions and discoveries
This is a list of inventions and discoveries by Israeli scientists and researchers, working locally or overseas. There are over 6,000 startups currently in Israel. There are currently more than 30 technology companies valued over US$1 billion (unicorn startups) in Israel, more than all of Europe combined. Mathematics Johnson–Lindenstrauss lemma, a mathematical result concerning low-distortion embeddings of points from high-dimensional into low-dimensional Euclidean space contributed by Joram Lindenstrauss. Development of the measurement of rigidity by Elon Lindenstrauss in ergodic theory, and their applications to number theory. A proof of Szemerédi's theorem using ergodic theory, by mathematician Hillel Furstenberg. Expansion of axiomatic set theory and the ZF set theory by Abraham Fraenkel. Development of the area of automorphic forms and L-functions by Ilya Piatetski-Shapiro.Tel Aviv University obituary Development of Sauer–Shelah lemma and Shelah cardinal. Development of the first proof of the alternating sign matrix conjecture. Development of Zig-zag product of graphs, a method of combining smaller graphs to produce larger ones used in the construction of expander graphs by Avi Wigderson. Development of Bernstein–Sato polynomial and proof of the Kazhdan–Lusztig conjectures by Joseph Bernstein Generalization of the marriage theorem by obtaining the right transfinite conditions for infinite bipartite graphs. He subsequently