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Added a footnote discussing the intuition for interpreting a large Euler
characteristic as a union manifold rather than a product manifold.
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Added a paragraph to the text discussing the content of previous work on
this model.
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- Indicated which of the requested changes were made.
- Modified the manuscript to indicated that the function H must be
Morse, i.e., not have any degenerate stationary points.
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Discussed the interpretation of m given that the choice of x₀ is
arbitrary to the value of the Euler characteristic.
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Discussed the relationship between the RSB instability in the Euler
characteristic calculatian and that of equilibrium in the spherical spin
glass and cost function cases.
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Added a footnote discussing the comparison between our prediction of
V_SAT and that made in the confluent tissues paper.
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Addressed the contribution of complex-m_* saddle points when they exist.
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Added a sentence to the abstract emphasizing that the available DMFT
data is not sufficient to resolve the open problem in asymptotic
dynamics
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Added a footnote discussing the commutation of the limits N→∞ and α→0 or
M=1.
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Added paragraphs discussion the relationship between our conjecture and
both different algorithms and different models.
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Added a footnote explaining the use of subscript notation for the
superdeterminant of an operator with more than two indicies.
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