Private enterprise: the country diary of an Edwardian lady and female fan communities : The Country Diary of an Edwardian Lady and female fan communities

Edith Holden(1871-1920) is the naturalist celebrated for her bestselling Country Diary of an Edwardian Lady (written 1906, published posthumously 1977). This book of natural observations, paintings, and poetry remained at the top of the British Sunday Times bestseller list for a record- breaking sixty-three weeks and sold prolifically throughout the United States, Europe, and the Far East. In the subsequent decade, public demand for information about the little-known author led to a biography and television drama, while the diary itself inspired an international tourist and merchandising industry which encompassed (to name only a few examples) books of gardening, cookery, crafts, household furnishings, and food

Upper and lower fast Khintchine spectra in continued fractions

For an irrational number $x\in [0,1)$, let $x=[a\_1(x), a\_2(x),\cdots]$ be its continued fraction expansion. Let $\psi : \mathbb{N} \rightarrow \mathbb{N}$ be a function with $\psi(n)/n\to \infty$ as $n\to\infty$. The (upper, lower) fast Khintchine spectrum for $\psi$ is defined as the Hausdorff dimension of the set of numbers $x\in (0,1)$ for which the (upper, lower) limit of $\frac{1}{\psi(n)}\sum\_{j=1}^n\log a\_j(x)$ is equal to $1$. The fast Khintchine spectrum was determined by Fan, Liao, Wang, and Wu. We calculate the upper and lower fast Khintchine spectra. These three spectra can be different.Comment: 13 pages. Motivation and details of proofs are adde

On the fast Khintchine spectrum in continued fractions

For $x\in [0,1)$, let $x=[a_1(x), a_2(x),...]$ be its continued fraction expansion with partial quotients ${a_n(x), n\ge 1}$. Let $\psi : \mathbb{N} \rightarrow \mathbb{N}$ be a function with $\psi(n)/n\to \infty$ as $n\to \infty$. In this note, the fast Khintchine spectrum, i.e., the Hausdorff dimension of the set E(\psi):=\Big{x\in [0,1): \lim_{n\to\infty}\frac{1}{\psi(n)}\sum_{j=1}^n\log a_j(x)=1\Big} is completely determined without any extra condition on $\psi$.Comment: 10 page