ALFRÉD RÉNYI INSTITUTE OF MATHEMATICS, HUNGARIAN ACADEMY OF SCIENCES

The fundamental goal of the Alfréd Rényi Institute of Mathematics is to pursue research of high international standing in pure mathematics. The institute is an important center of mathematics internationally. Fellows of the institute received several Hungarian and international awards. A research professor emerita obtained the Gold Medal of the Academy this year, a research professor emeritus got an honorary doctorate, a researcher received the Officer’s Cross of the Order of Merit of Hungary, a young researcher obtained the Young Researcher Award of the Academy, another one received the Géza Grünwald medal from the János Bolyai Mathematical Society. A research professor emeritus was elected to president of the European Set Theory Society, another one was awarded the Hamming medal of IEEE. Two researchers from the institute took part in the wide-ranging international project aimed at estimating the gaps between prime numbers. The Notices of the American Mathematical Society reported their spectacular result, putting pictures of the mathematicians participating in the project on the cover, including the two fellows from the MTA Rényi Institute. In 2015 another project receiving five-years of support from the European Research Council (ERC) was launched at the institute. This is the sixth research group with an ERC grant at the institute, thus the MTA Rényi Institute is one of the most successful institutions applying to the ERC from the new member states of the EU. The institute has an outstanding record at the Momentum program of the Academy as well. In 2015 the fifth Momentum group was started, this time in the field of financial mathematics.

[1]  Proceedings of the Edinburgh Mathematical Society , 1893 .

[2]  Nicolas Templier.  On the sup-norm of Maass cusp forms of large level , 2010 .

[3]  G. Harcos,et al.  On the sup-norm of Maass cusp forms of large level. III , 2011 .

[4]  L. Pyber,et al.  On the product decomposition conjecture for finite simple groups , 2011, 1111.3497.

[5]  K. Böröczky,et al.  Stronger versions of the Orlicz-Petty projection inequality , 2011, 1105.3251.

[6]  J. Pintz,et al.  Primes in tuples IV: Density of small gaps between consecutive primes , 2011, 1103.5886.

[7]  Z. Furedi,et al.  Uniform hypergraphs containing no grids , 2011, 1103.1691.

[8]  Rich'ard Balka,et al.  A new fractal dimension: The topological Hausdorff dimension , 2011, 1108.4292.

[9]  K. Marton,et al.  An inequality for relative entropy and logarithmic Sobolev inequalities in Euclidean spaces , 2012 .

[10]  Miklós Abért,et al.  Bernoulli actions are weakly contained in any free action , 2011, Ergodic Theory and Dynamical Systems.

[11]  D. Petz,et al.  Families of completely positive maps associated with monotone metrics , 2012, 1212.1337.

[12]  Miklós Abért,et al.  On the growth of $L^2$-invariants for sequences of lattices in Lie groups , 2012, 1210.2961.

[13]  C. Aistleitner,et al.  GCD sums from Poisson integrals and systems of dilated functions , 2012, 1210.0741.

[14]  I. Ruzsa,et al.  Difference Sets and Positive Exponential Sums I. General Properties , 2012, 1207.1781.

[15]  Miklós Abért,et al.  Kesten's theorem for Invariant Random Subgroups , 2012, 1201.3399.

[16]  K. Böröczky,et al.  The logarithmic Minkowski problem , 2012 .

[17]  M. Domokos.  Invariant theoretic characterization of subdiscriminants of matrices , 2012, 1206.2358.

[18]  L. Feh.  EQUIVARIANT AND INVARIANT THEORY OF NETS OF CONICS WITH AN APPLICATION TO THOM POLYNOMIALS , 2012 .

[19]  Peter S. Ozsv'ath,et al.  Knots in lattice homology , 2012, 1208.2617.

[20]  Gábor Tardos,et al.  Local chromatic number of quadrangulations of surfaces , 2010, Comb..

[21]  Gábor Tardos,et al.  Caterpillar Dualities and Regular Languages , 2012, SIAM J. Discret. Math..

[22]  S. Shelah,et al.  Very many clones above the unary clone , 2013 .

[23]  I. Bárány,et al.  Every point is critical , 2013 .

[24]  A. Stipsicz,et al.  Singular maps on exotic 4-manifold pairs , 2012, 1205.5919.

[25]  On the Estimation of Multiple Random Integrals and U-Statistics , 2013 .

[26]  I. Juhász,et al.  Variations on ω-boundedness , 2012, Israel Journal of Mathematics.

[27]  P. Major.  Multiple Wiener-Itô Integrals (revised version) , 2014 .

[28]  V. Blomer,et al.  Applications of the Kuznetsov formula on GL(3) II: the level aspect , 2014 .

[29]  Márton Elekes,et al.  Characterization of order types of pointwise linearly ordered families of Baire class 1 functions , 2014, 1410.8362.

[30]  Bal'azs Szegedy,et al.  The automorphism group of a graphon , 2014 .

[31]  Andrew V. Sutherland,et al.  New equidistribution estimates of Zhang type , 2014 .

[32]  A. N'emethi,et al.  Ehrhart theory of polytopes and Seiberg–Witten invariants of plumbed 3–manifolds , 2012, 1211.2539.

[33]  Federica Garin,et al.  One-dimensional coverage by unreliable sensors , 2014, ArXiv.

[34]  Commutative orders revisited , 2014 .

[35]  Gábor N. Sárközy,et al.  Partitioning 2-edge-colored graphs by monochromatic paths and cycles , 2014, Comb..

[36]  J. Szabados,et al.  On Multivariate Incomplete Polynomials on Starlike Domains , 2014 .

[37]  Zoltán Füredi,et al.  Hypergraph Turán numbers of linear cycles , 2014, J. Comb. Theory, Ser. A.

[38]  János Pach,et al.  Homogeneous selections from hyperplanes , 2014, J. Comb. Theory, Ser. B.

[39]  I. Matyasovszky,et al.  Predicting daily ragweed pollen concentrations using Computational Intelligence techniques over two heavily polluted areas in Europe. , 2014, The Science of the total environment.

[40]  Dénes Petz,et al.  Conditional SIC-POVMs , 2012, IEEE Transactions on Information Theory.

[41]  Gábor Tardos,et al.  On List Coloring and List Homomorphism of Permutation and Interval Graphs , 2012, SIAM J. Discret. Math..

[42]  Haar Null Sets and the Consistent Reflection of Non-meagreness , 2011, Canadian Journal of Mathematics.

[43]  I. Németi,et al.  Faster than light motion does not imply time travel , 2014, 1407.2528.

[44]  Viktor Harangi,et al.  Independence ratio and random eigenvectors in transitive graphs , 2013, 1308.5173.

[45]  Zolt'an L'or'ant Nagy,et al.  A new approach to constant term identities and Selberg-type integrals , 2013, 1312.6369.

[46]  P. Csikvári,et al.  Matching Measure, Benjamini–Schramm Convergence and the Monomer–Dimer Free Energy , 2014, 1405.6740.

[47]  G. Simonyi,et al.  Dilworth Rate: A Generalization of Witsenhausen's Zero-Error Rate for Directed Graphs , 2015, IEEE Trans. Inf. Theory.

[48]  A. Némethi.  Links of rational singularities, L-spaces and LO fundamental groups , 2015, Inventiones mathematicae.

[49]  K. Böröczky,et al.  Affine images of isotropic measures , 2015 .

[50]  István Miklós,et al.  Approximate Counting of Graphical Realizations , 2015, PloS one.

[51]  Imre Bárány,et al.  Topology of Geometric Joins , 2013, Discret. Comput. Geom..

[52]  M. Rásonyi,et al.  Non-concave utility maximisation on the positive real axis in discrete time , 2015, 1501.03123.

[53]  Svante Janson,et al.  More on quasi-random graphs, subgraph counts and graph limits , 2015, Eur. J. Comb..

[54]  'Agnes Backhausz,et al.  Spectral measures of factor of i.i.d. processes on vertex-transitive graphs , 2015, 1505.07412.

[55]  András I. Stipsicz,et al.  Grid Homology for Knots and Links , 2015 .

[56]  J. Kollár,et al.  Holomorphic arcs on singularities , 2015 .

[57]  R. Guralnick,et al.  Normalizers of Primitive Permutation Groups , 2016, 1603.00187.

[58]  M. Domokos,et al.  Degree bound for separating invariants of abelian groups , 2016, 1602.06597.