Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modulus of continuity of averages of SRB measures for a transversal
  family of piecewise expanding unimodal maps   Let $f_t:[0,1] \to [0,1]$ be a family of piecewise expanding unimodal maps
with a common critical point that is dense for almost all $t \in [a,b]$. If
$\mu_t$ is the corresponding SRB measure for $f_t$, we study the regularity of
$\Gamma(t)=\int \phi d\mu_t$ when assuming that the family is transversal to
the topological classes of these maps, more precisely, we prove that if
$J_t(c)=\sum_{k=0}^{\infty} \frac{v_t(f_t^k(c))}{Df_t^k(f_t(c))} \neq 0$ for
all $t$, where $v_t(x)=\partial_s f_s(x)|_{s=t}$, then $\Gamma(t)$ is not
Lipschitz for almost all $t\in [a,b]$. Furthermore, we give the exact modulus
of continuity of $\Gamma(t)$.

6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat