G. Rota

Publications870
h-index49
Citations13,002
Highly Influential Citations758
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On the foundations of combinatorial theory I. Theory of Möbius Functions
On the Foundations of Combinatorial Theory
One of the most useful principles of enumeration in discrete probability and combinatorial theory is the celebrated principle of·inclusion-exclusion (ef. Feller*, FrEchet, Riordan, Ryser). When… Expand
Ordinary Differential Equations
A note on the joint spectral radius
Coalgebras and Bialgebras in Combinatorics
The following material is discussed in this paper: Incidence Coalgebras for PO sets; Reduced Boolean Coalgebras; Divided Powers Coalgebra; Dirichlet Coalgebra; Eulerian Coalgebra; Faa di Bruno… Expand
Linear Operators and Approximation Theory.
The Number of Partitions of a Set
Introduction to Geometric Probability
Introduction 1. The Buffon needle problem 2. Valuation and integral 3. A discrete lattice 4. The intrinsic volumes for parallelotopes 5. The lattice of polyconvex sets 6. Invariant measures on… Expand
On The Foundations of Combinatorial Theory: Combinatorial Geometries
It has been clear within the last ten years that combinatorial geometry, together with its order-theoretic counterpart, the geometric lattice, can serve to catalyze the whole field of combinatorial… Expand
Baxter algebras and combinatorial identities. II
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