Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Logarithmic Funnel Heap: A Statistically Self-Similar Priority Queue   The present work contains the design and analysis of a statistically
self-similar data structure using linear space and supporting the operations,
insert, search, remove, increase-key and decrease-key for a deterministic
priority queue in expected O(1) time. Extract-max runs in O(log N) time. The
depth of the data structure is at most log* N. On the highest level, each
element acts as the entrance of a discrete, log* N-level funnel with a
logarithmically decreasing stem diameter, where the stem diameter denotes a
metric for the expected number of items maintained on a given level.

14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat