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Boundary contributions to the semiclassical traces of the baker's map

chao-dyn · Submitted 5 Mar 1997

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Besides the usual Gutzwiller periodic orbit contribution, we identify boundary paths giving rise to anomalous log(hbar) terms.

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arXiv IDchao-dyn/9703005 (version 1)
Pith ID4P2PRDQF, Pith's permanent record of this paper and its review
CitationF. Toscano, M. Saraceno, R. O. Vallejos. "Boundary contributions to the semiclassical traces of the baker's map." arXiv:chao-dyn/9703005 (1997). https://pith.science/paper/4P2PRDQF
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,866 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.13 · compares with prior results 0.30 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We evaluate the leading asymptotic contributions to the traces of the quantum baker's map propagator. Besides the usual Gutzwiller periodic orbit contribution, we identify boundary paths giving rise to anomalous log(hbar) terms. Some examples of these anomalous terms are calculated both numerically and analytically.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We evaluate the leading asymptotic contributions to the traces of the quantum baker's map propagator. contribution 0.98 0.95 0.13 asserted 0.99
s1 Besides the usual Gutzwiller periodic orbit contribution, we identify boundary paths giving rise to anomalous log(hbar) terms. result 0.77 0.94 0.65 asserted 1.00
s2 Some examples of these anomalous terms are calculated both numerically and analytically. method 0.70 0.94 0.12 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.84.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We evaluate the leading asymptotic contributions to the traces of the quantum baker's map propagator. Besides the usual Gutzwiller periodic orbit contribution, we identify boundary paths giving rise to anomalous log(hbar) terms. Some examples of these anomalous terms are calculated both numerically and analytically.

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