Yevgeniy Landis
Encyclopedia
Evgenii Mikhailovich Landis was a Soviet
mathematician
who worked mainly on partial differential equation
s.
, Ukrainian SSR
, Soviet Union. He studied and worked at the Moscow State University
, where his advisor was Alexander Kronrod
, and later Ivan Petrovsky
. In 1946, together with Kronrod, he rediscovered Sard's lemma
unknown in Russia at the time.
Later he worked on uniqueness theorems for elliptic and parabolic differential equations
, Harnack inequalities
, and Phragmén–Lindelöf type theorems. With Georgy Adelson-Velsky
, he invented the AVL tree
datastructure (where "AVL" stands for Adelson-Velsky Landis).
He died in Moscow
.
Soviet Union
The Soviet Union , officially the Union of Soviet Socialist Republics , was a constitutionally socialist state that existed in Eurasia between 1922 and 1991....
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
who worked mainly on partial differential equation
Partial differential equation
In mathematics, partial differential equations are a type of differential equation, i.e., a relation involving an unknown function of several independent variables and their partial derivatives with respect to those variables...
s.
Life
Landis was born in KharkivKharkiv
Kharkiv or Kharkov is the second-largest city in Ukraine.The city was founded in 1654 and was a major centre of Ukrainian culture in the Russian Empire. Kharkiv became the first city in Ukraine where the Ukrainian Soviet Socialist Republic was proclaimed in December 1917 and Soviet government was...
, Ukrainian SSR
Ukrainian SSR
The Ukrainian Soviet Socialist Republic or in short, the Ukrainian SSR was a sovereign Soviet Socialist state and one of the fifteen constituent republics of the Soviet Union lasting from its inception in 1922 to the breakup in 1991...
, Soviet Union. He studied and worked at the Moscow State University
Moscow State University
Lomonosov Moscow State University , previously known as Lomonosov University or MSU , is the largest university in Russia. Founded in 1755, it also claims to be one of the oldest university in Russia and to have the tallest educational building in the world. Its current rector is Viktor Sadovnichiy...
, where his advisor was Alexander Kronrod
Alexander Kronrod
Aleksandr Semenovich Kronrod was a Soviet mathematician and computer scientist, best known for the Gauss-Kronrod quadrature formula which he published in 1964. Earlier his computations informed theoretical physics...
, and later Ivan Petrovsky
Ivan Petrovsky
Ivan Georgievich Petrovsky, also Petrovskii was a Soviet mathematician in the field of partial differential equations, and studied Petrovsky lacunas. He greatly contributed to solution of Hilbert's 19th and 16th problems...
. In 1946, together with Kronrod, he rediscovered Sard's lemma
Sard's lemma
Sard's theorem, also known as Sard's lemma or the Morse–Sard theorem, is a result in mathematical analysis which asserts that the image of the set of critical points of a smooth function f from one Euclidean space or manifold to another has Lebesgue measure 0 – they form a null set...
unknown in Russia at the time.
Later he worked on uniqueness theorems for elliptic and parabolic differential equations
Partial differential equation
In mathematics, partial differential equations are a type of differential equation, i.e., a relation involving an unknown function of several independent variables and their partial derivatives with respect to those variables...
, Harnack inequalities
Harnack's inequality
In mathematics, Harnack's inequality is an inequality relating the values of a positive harmonic function at two points, introduced by . and generalized Harnack's inequality to solutions of elliptic or parabolic partial differential equations. Perelman's solution of the Poincaré conjecture uses...
, and Phragmén–Lindelöf type theorems. With Georgy Adelson-Velsky
Georgy Adelson-Velsky
Georgy Maximovich Adelson-Velsky , is a Soviet mathematician and computer scientist. Along with E.M. Landis, he invented the AVL tree in 1962....
, he invented the AVL tree
AVL tree
In computer science, an AVL tree is a self-balancing binary search tree, and it was the first such data structure to be invented. In an AVL tree, the heights of the two child subtrees of any node differ by at most one. Lookup, insertion, and deletion all take O time in both the average and worst...
datastructure (where "AVL" stands for Adelson-Velsky Landis).
He died in Moscow
Moscow
Moscow is the capital, the most populous city, and the most populous federal subject of Russia. The city is a major political, economic, cultural, scientific, religious, financial, educational, and transportation centre of Russia and the continent...
.
External links
- Biography of Y.M. Landis at the International Centre for Mathematical SciencesInternational Centre for Mathematical SciencesThe International Centre for Mathematical Sciences is a mathematical research centre based in Edinburgh. According to its website, the Centre is "designed to bring together mathematicians and practitioners in science, industry and commerce for research workshops and other meetings."The Centre was...
.